Digital Commons @ Trinity

Topological Comparison of Some Dimension Reduction Methods Using Persistent Homology on EEG Data, Eddy Kwessi
Mathematics Faculty Research

Resources for Supporting Mathematics and Data Science Instructors During COVID-19, Eduardo C. Balreira, C. Hawthorne, G. Stadnyk, Z. Teymuroglu, M. Torres, J. R. Wares
Eduardo Cabral Balreira

Artificial Neural Networks with a Signed-Rank Objective Function and Applications, Eddy Kwessi, L. J. Edwards
Mathematics Faculty Research

Biofilm Viscoelasticity and Nutrient Source Location Control Biofilm Growth Rate, Migration Rate, and Morphology in Shear Flow, Hoa Nguyen, Abraham Ybarra, H. Başağaoğlu, Orrin Shindell
Mathematics Faculty Research

Geometry and Global Stability of 2D Periodic Monotone Maps, Eduardo C. Balreira, Rafael Luís
Mathematics Faculty Research

Geometry and Global Stability of 2D Periodic Monotone Maps, Eduardo C. Balreira, Rafael Luís
Eduardo Cabral Balreira

Analysis of EEG Data Using Complex Geometric Structurization, Eddy A. Kwessi, L. J. Edwards
Mathematics Faculty Research

Discrete Dynamics of Dynamic Neural Fields, Eddy Kwessi
Mathematics Faculty Research

Resources for Supporting Mathematics and Data Science Instructors During COVID-19, Eduardo C. Balreira, C. Hawthorne, G. Stadnyk, Z. Teymuroglu, M. Torres, J. R. Wares
Mathematics Faculty Research

A Nearly Exact Discretization Scheme for the FitzHugh–Nagumo Model, Eddy Kwessi, L. J. Edwards
Mathematics Faculty Research

Regularity and Monotonicity for Solutions to a Continuum Model of Epitaxial Growth with Nonlocal Elastic Effects, Yuan Gao, Xin Yang Lu, Chong Wang
Mathematics Faculty Research

Double Penalized Semi-Parametric Signed-Rank Regression with Adaptive LASSO, Eddy Kwessi
Mathematics Faculty Research

A Continuous-Time Mathematical Model and Discrete Approximations for the Aggregation of β-Amyloid, A. S. Ackleh, Saber Elaydi, G. Livadiotis, A. Veprauskas
Mathematics Faculty Research

On the Equivalence Between Weak BMO and the Space of Derivatives of the Zygmund Class, Eddy Kwessi
Mathematics Faculty Research

Progress on Difference Equations and Discrete Dynamical Systems: 25th ICDEA, London, UK, June 24–28, 2019, Steve Baigent, Martin Bohner, Saber Elaydi
Faculty Authored and Edited Books & CDs

Solutions of the Variational Equation for an n-th Order Boundary Value Problem with an Integral Boundary Condition, Benjamin L. Jeffers, Jeffrey W. Lyons
Mathematics Faculty Research

A Consistent Estimator of Nontrivial Stationary Solutions of Dynamic Neural Fields, Eddy Kwessi
Mathematics Faculty Research

Improving Foresight Predictions in the 2002-2018 NFL Regular-Seasons: A Classic Tale of Quantity vs. Quality, Eduardo C. Balreira, Brian K. Miceli
Eduardo Cabral Balreira

Global Stability of Higher Dimensional Monotone Maps, Eduardo C. Balreira, Saber Elaydi, Rafael Luis
Saber Elaydi

The Structure of ω-Limit Sets of Asymptotically Non-Autonomous Discrete Dynamical Systems, E. D'Aniello, Saber Elaydi
Mathematics Faculty Research

Discrete Evolutionary Population Models: A New Approach, K. Mokni, Saber Elaydi, M. CH-Chaoui, A. Eladdadi
Mathematics Faculty Research

The Special Atom Space and Haar Wavelets in Higher Dimensions, Eddy Kwessi, G. de Souza, N. Djitte, M. Ndiaye
Mathematics Faculty Research

Improving Foresight Predictions in the 2002-2018 NFL Regular-Seasons: A Classic Tale of Quantity vs. Quality, Eduardo C. Balreira, Brian K. Miceli
Mathematics Faculty Research

Global Stability of Higher Dimensional Monotone Maps, Eduardo C. Balreira, Saber Elaydi, Rafael Luis
Eduardo Cabral Balreira

A Geometric Generalizaion of the Planar Gale-Nikaidô Theorem, Eduardo C. Balreira
Eduardo Cabral Balreira

Effects of Advective-Diffusive Transport of Multiple Chemoattractants on Motility of Engineered Chemosensory Particles in Fluidic Environments, D. King, H. Başağaoğlu, Hoa Nguyen, Frank G. Healy, Melissa Whitman, Sauro Succi
Mathematics Faculty Research

Effects of Cell Morphology and Attachment to a Surface on the Hydrodynamic Performance of Unicellular Choanoflagellates, Hoa Nguyen, M. A. R. Koehl, Christian Oakes, G. Bustamente, L. Fauci
Mathematics Faculty Research

A Discrete Mathematical Model for the Aggregation of β-Amyloid, Maher A. Dayeh, George Livadiotis, Saber Elaydi
Saber Elaydi

A Discrete Mathematical Model for the Aggregation of β-Amyloid, Maher A. Dayeh, George Livadiotis, Saber Elaydi
Mathematics Faculty Research

A Geometric Generalizaion of the Planar Gale-Nikaidô Theorem, Eduardo C. Balreira
Mathematics Faculty Research

Advances in Difference Equations and Discrete Dynamical Systems: ICDEA, Osaka, Japan, July 2016, Saber Elaydi, Yoshihiro Hamaya, Hideaki Matsunaga, Christian Pötzsche
Saber Elaydi

Theory and Applications of Difference Equations and Discrete Dynamical Systems: ICDEA, Sultan Qaboos University, Muscat, Oman, May 26-30, 2013, Ziyad AlSharawi, Jim M. Cushing, Saber Elaydi
Saber Elaydi

Difference Equations, Discrete Dynamical Systems and Applications: ICDEA, Barcelona, Spain, July 2012, Lluís Alsedà i Soler, Jim M. Cushing, Saber Elaydi, Alberto A. Pinto
Saber Elaydi

Difference Equations and Discrete Dynamical Systems: Proceedings of the 9th International Conference, University of Southern California, Los Angeles, California, USA, 2-7 August 2004, Linda J S Allen, Bernd Aulbach, Saber Elaydi, Robert Sacker
Saber Elaydi

Global Stability of Higher Dimensional Monotone Maps, Eduardo C. Balreira, Saber Elaydi, Rafael Luís
Mathematics Faculty Research

Model Averaging Based on Rank, Jiang Du, Xiuping Chen, Eddy Kwessi, Zhimeng Sun
Mathematics Faculty Research

Advances in Difference Equations and Discrete Dynamical Systems: ICDEA, Osaka, Japan, July 2016, Saber Elaydi, Yoshihiro Hamaya, Hideaki Matsunaga, Christian Pötzsche
Faculty Authored and Edited Books & CDs

Generating Functions and Wilf Equivalence for Generalized Interval Embeddings, Russell Chamberlain, Garner Cochran, Sam Ginsburg, Brian K. Miceli, Manda Riehl, Chi Zhang
Mathematics Faculty Research

Difference Equations, Discrete Dynamical Systems and Applications: ICDEA, Barcelona, Spain, July 2012, Lluís Alsedà i Soler, Jim M. Cushing, Saber Elaydi, Alberto A. Pinto
Faculty Authored and Edited Books & CDs

A Stochastic Modified Beverton-Holt Model with the Allee Effect, Laila Assas, Brian Dennis, Saber Elaydi, Eddy Kwessi, George Livadiotis
Mathematics Faculty Research

Poincaré Types Solutions of Systems of Difference Equations, Raghib Abu-Saris, Saber Elaydi, Sophia Jang
Saber Elaydi

Basin of Attraction of Periodic Orbits of Maps on the Real Line, Saber Elaydi, Robert Sacker
Saber Elaydi

Asymptotic Stability of Linear Difference Equations of Advanced Type, Fozi Dannan, Saber Elaydi
Saber Elaydi

An Extension of Sharkovsky’s Theorem to Periodic Difference Equations, Ziyad AlSharawi, James Angelos, Saber Elaydi, Leela Rakesh
Saber Elaydi

Global Stability of Cycles: Lotka-Volterra Competition Model with Stocking, Saber Elaydi, Abdul-Aziz Yakubu
Saber Elaydi

Nonautonomous Beverton-Holt Equations and the Cushing-Henson Conjectures, Saber Elaydi, Robert Sacker
Saber Elaydi

Stability of Hyperbolic and Nonhyperbolic Fixed Points of One-Dimensional Maps, Fozi M. Dannan, Saber Elaydi, Vadim Ponomarenko
Saber Elaydi

Periodic Difference Equations, Population Biology and the Cushing-Henson Conjectures, Saber Elaydi, Robert Sacker
Saber Elaydi

Global Stability of Periodic Orbits of Non-Autonomous Difference Equations and Population Biology, Saber Elaydi, Robert Sacker
Saber Elaydi

Is the World Evolving Discretely?, Saber Elaydi
Saber Elaydi

Difference Equations Versus Differential Equations, a Possible Equivalence for the Rössler system?, Christophe Letellier, Saber Elaydi, Luis Aguirre, Aziz Alaoui
Saber Elaydi

Asymptotic Solutions of a Discrete Schrödinger Equation Arising from a Dirac Equation with Random Mass, Bernd Aulbach, Saber Elaydi, Klaus Ziegler
Saber Elaydi

Skew-Product Dynamical Dystems: Applications to Difference Equations, Saber Elaydi, Robert Sacker
Saber Elaydi

Foliations and Global Inversion, Eduardo C. Balreira
Eduardo Cabral Balreira

Incompressibility and Global Inversion, Eduardo C. Balreira
Eduardo Cabral Balreira

A Generalization of the Fujisawa–Kuh Global Inversion Theorem, Marius Radulescu, Sorin Radulescu, Eduardo C. Balreira
Eduardo Cabral Balreira

An Oracle Method to Predict NFL Games, Eduardo C. Balreira, Brian K. Miceli, Thomas Tegtmeyer
Eduardo Cabral Balreira

Mathematical Classification of Tight Junction Protein Images, Katherine Ogawa, Caitlin Troyer, Robert Doss, Farzan Aminian, Eduardo Balreira, Jonathan King
Eduardo Cabral Balreira

Local Stability Implies Global Stability for the Planar Ricker Competition Model, Eduardo C. Balreira, Saber Elaydi, Rafael Luis
Eduardo Cabral Balreira

Global Dynamics of Triangular Maps, Eduardo C. Balreira, Saber Elaydi, Rafael Luis
Eduardo Cabral Balreira

Incompressibility and Global Inversion, Eduardo C. Balreira
Eduardo Cabral Balreira

General Allee Effect in two-Species Population Biology, G Livadiotis, Saber Elaydi
Saber Elaydi

Bifurcation and Invariant Manifolds of the Logistic Competition Model, Malgorzata Guzowska, Rafael Luis, Saber Elaydi
Saber Elaydi

Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics, Saber Elaydi, Rafael Luis, Henrique Oliveira
Saber Elaydi

Non-Autonomous Periodic Systems with Allee Effects, Rafael Luis, Saber Elaydi, Henrique Oliveira
Saber Elaydi

Population Models with Allee Effect: A New Model, Saber Elaydi, Robert J. Sacker
Saber Elaydi

An Economical Model with Allee effect, Rafael Luis, Saber Elaydi, Henrique Oliveira
Saber Elaydi

On the Stochastic Beverton-Holt Equation with Survival Rates, Paul H. Bezandry, Toka Diagana, Saber Elaydi
Saber Elaydi

On the Asymptotic Stability of Linear Volterra Difference Equations of Convolution Type, Saber Elaydi, E Messina, A Vecchio
Saber Elaydi

Stability and Asymptoticity of Volterra Difference Equations: A Progress Report, Saber Elaydi
Saber Elaydi

Population Models in Almost Periodic Environments, Toka Diagana, Saber Elaydi, Abdul-Aziz Yakubu
Saber Elaydi

Existence and Stability of Periodic Orbits of Periodic Difference Equations with Delays, Ziyad AlSharawi, James Angelos, Saber Elaydi
Saber Elaydi

Local Stability Implies Global Stability for the Planar Ricker Competition Model, Eduardo Balreira, Saber Elaydi, Rafael Luis
Saber Elaydi

Global Dynamics of Triangular Maps, Eduardo Balreira, Saber Elaydi, Rafael Luis
Saber Elaydi

Connection Coefficients Between Generalized Rising and Falling Factorial Bases, Jeffrey Liese, Brian K. Miceli, Jeffrey Remmel
Mathematics Faculty Research

Introduction to Real Analysis, William F. Trench
William F. Trench

Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations with Boundary Value Problems, William F. Trench
William F. Trench

Elementary Differential Equations, William F. Trench
William F. Trench

Elementary Differential Equations with Boundary Value Problems, William F. Trench
William F. Trench

A Combinatorial Proof of a Theorem of Katsuura, Brian K. Miceli
Mathematics Faculty Research

An unnoticed consequence of Szego's distribution theorem, William F. Trench
William F. Trench

Global Dynamics of Triangular Maps, Eduardo C. Balreira, Saber Elaydi, Rafael Luís
Mathematics Faculty Research

Hydrodynamics of Diatom Chains and Semiflexible Fibres, Hoa Nguyen, L. Fauci
Mathematics Faculty Research

An Oracle Method to Predict NFL Games, Eduardo C. Balreira, Brian K. Miceli, Thomas Tegtmeyer
Mathematics Faculty Research

Local Stability Implies Global Stability for the Planar Ricker Competition Model, Eduardo C. Balreira, Saber Elaydi, Rafael Luís
Mathematics Faculty Research

Theory and Applications of Difference Equations and Discrete Dynamical Systems: ICDEA, Sultan Qaboos University, Muscat, Oman, May 26-30, 2013, Ziyad AlSharawi, Jim M. Cushing, Saber Elaydi
Faculty Authored and Edited Books & CDs

Characterization and properties of $(P_\sigma,Q)$ symmetric and co-symmetric matrices, William Trench
William F. Trench

Elementary Differential Equations with Boundary Value Problems, William F. Trench
Faculty Authored and Edited Books & CDs

Elementary Differential Equations, William F. Trench
Faculty Authored and Edited Books & CDs

Introduction to Real Analysis, William F. Trench
Faculty Authored and Edited Books & CDs

Mathematical Classification of Tight Junction Protein Images, Katherine H. Ogawa, Caitlin M. Troyer, Robert G. Doss, Farzan Aminian, Eduardo C. Balreira, Jonathan M. King
Mathematics Faculty Research

Inverse problems for unilevel block $\alpha$-circulants, William F. Trench
William F. Trench

The Method of Lagrange Multipliers, William Trench
Mathematics Faculty Research

Functions Defined by Improper Integrals, William Trench
Mathematics Faculty Research

The Method of Lagrange Multipliers, William Trench
William F. Trench

Functions Defined by Improper Integrals, William F. Trench
William F. Trench

General Allee Effect in Two-Species Population Biology, G Livadiotis, Saber Elaydi
Mathematics Faculty Research

Stability of Hyperbolic and Nonhyperbolic Fixed Points of One-Dimensional Maps, Fozi M. Dannan, Saber Elaydi, Vadim Ponomarenko
Saber Elaydi

Global Stability of Periodic Orbits of Non-Autonomous Difference Equations and Population Biology, Saber Elaydi, Robert J. Sacker
Saber Elaydi

Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics, Saber Elaydi, Rafael Luis, Henrique Oliveira
Saber Elaydi

Stability and Asymptoticity of Volterra Difference Equations: A Progress Report, Saber Elaydi
Saber Elaydi

Non-Autonomous Periodic Systems with Allee Effects, Rafael Luis, Saber Elaydi, Henrique Oliveira
Saber Elaydi

Is the World Evolving Discretely?, Saber Elaydi
Saber Elaydi

Skew-Product Dynamical Dystems: Applications to Difference Equations, Saber Elaydi, Robert J. Sacker
Saber Elaydi

Poincaré Types Solutions of Systems of Difference Equations, Raghib Abu-Saris, Saber Elaydi, Sophia Jang
Saber Elaydi

Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics, Saber Elaydi, Rafael Luis, Henrique Oliveira
Saber Elaydi

Nonautonomous difference equations: Open problems and conjectures, Saber Elaydi
Saber Elaydi

Bifurcation and Invariant Manifolds of the Logistic Competition Model, Malgorzata Guzowska, Rafael Luis, Saber Elaydi
Saber Elaydi

Periodic Difference Equations, Population Biology and the Cushing-Henson Conjectures, Saber Elaydi, Robert J. Sacker
Saber Elaydi

Population Models with Allee Effect: A New Model, Saber Elaydi, Robert J. Sacker
Saber Elaydi

Population Models in Almost Periodic Environments, Toka Diagana, Saber Elaydi, Abdul-Aziz Yakubu
Saber Elaydi

Global Stability of Periodic Orbits of Non-Autonomous Difference Equations and Population Biology, Saber Elaydi, Robert J. Sacker
Saber Elaydi

On the Asymptotic Stability of Linear Volterra Difference Equations of Convolution Type, Saber Elaydi, E Messina, A Vecchio
Saber Elaydi

Difference Equations from Discretization of a Continuous Epidemic Model with Immigration of Infectives, Sophia Jang, Saber Elaydi
Saber Elaydi

Nonautonomous Beverton-Holt Equations and the Cushing-Henson Conjectures, Saber Elaydi, Robert J. Sacker
Saber Elaydi

Global Stability of Cycles: Lotka-Volterra Competition Model with Stocking, Saber Elaydi, Abdul-Aziz Yakubu
Saber Elaydi

An Extension of Sharkovsky’s Theorem to Periodic Difference Equations, Ziyad AlSharawi, James Angelos, Saber Elaydi, Leela Rakesh
Saber Elaydi

Asymptotic Solutions of a Discrete Schrödinger Equation Arising from a Dirac Equation with Random Mass, Bernd Aulbach, Saber Elaydi, Klaus Ziegler
Saber Elaydi

Existence and Stability of Periodic Orbits of Periodic Difference Equations with Delays, Ziyad AlSharawi, James Angelos, Saber Elaydi
Saber Elaydi

An Economical Model with Allee effect, Rafael Luis, Saber Elaydi, Henrique Oliveira
Saber Elaydi

Difference Equations Versus Differential Equations, a Possible Equivalence for the Rössler system?, Christophe Letellier, Saber Elaydi, Luis A. Aguirre, Aziz Alaoui
Saber Elaydi

Basin of Attraction of Periodic Orbits of Maps on the Real Line, Saber Elaydi, Robert J. Sacker
Saber Elaydi

An elementary view of Weyl's theory of equal distribution, William Trench
William F. Trench

Bifurcation and Invariant Manifolds of the Logistic Competition Model, M. Guzowska, Rafael Luís, Saber Elaydi
Mathematics Faculty Research

Characterization and properties of $(R,S_\sigma)$-commutative matrices, William F. Trench
William F. Trench

Characterization and properties of $(R,S_\sigma)$-commutative matrices, William F. Trench
William F. Trench

A Generalization of the Fujisawa–Kuh Global Inversion Theorem, M. Radulescu, S. Radulescu, Eduardo C. Balreira
Mathematics Faculty Research

Budding Yeast, Branching Processes, and Generalized Fibonacci Numbers, Peter Olofsson, Ryan C. Daileda
Mathematics Faculty Research

Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics, Saber Elaydi, Rafael Luís, Henrique Oliveira
Mathematics Faculty Research

The relationship between Trench's Toeplitz inversion algorithm and the Gohberg-Semencul formula, William F. Trench
William F. Trench

Asymptotic preconditioning of linear homogeneous systems of differential equations, William F. Trench
William F. Trench

Can Telomere Shortening Explain Sigmoidal Growth Curves?, Peter Olofsson
Mathematics Faculty Research

Non-Autonomous Periodic Systems with Allee Effects, Rafael Luís, Saber Elaydi, Henrique Oliveira
Mathematics Faculty Research

Population Models with Allee Effect: A New Model, Saber Elaydi, Robert J. Sacker
Mathematics Faculty Research

Maximal Class Numbers of CM Number Fields, Ryan C. Daileda, Raju Krishnamoorthy, Anton Malyshev
Mathematics Faculty Research

Modeling Growth and Telomere Dynamics in Saccharomyces Cerevisiae, Peter Olofsson, Alison A. Bertuch
Mathematics Faculty Research

On Minimal Surfaces and Their Representations, Brian Fitzpatrick
Math Honors Theses

Incompressibility and Global Inversion, Eduardo C. Balreira
Mathematics Faculty Research

A Stochastic Model of Cell Cycle Desynchronization, Peter Olofsson, Thomas O. McDonald
Mathematics Faculty Research

Foliations and Global Inversion, Eduardo C. Balreira
Mathematics Faculty Research

Characterization and properties of matrices with $k$-involutory symmetries II, William F. Trench
William F. Trench

Spectral decomposition of Kac-Murdock-Szego matrices, William F. Trench
William F. Trench

Size-Biased Branching Population Measures and the Multi-Type x Log x Condition, Peter Olofsson
Mathematics Faculty Research

Fast and Robust Techniques for the Euclidean p-Median Problem with Uniform Weights, G J. Lim, J Reese, Allen G. Holder
Mathematics Faculty Research

An Economical Model with Allee Effect, Rafael Luís, Saber Elaydi, Henrique Oliveira
Mathematics Faculty Research

Stability and Asymptoticity of Volterra Difference Equations: A Progress Report, Saber Elaydi
Mathematics Faculty Research

Diversity Graphs, P Blain, C Davis, Allen G. Holder, J Silva, C Vinzant
Mathematics Faculty Research

Radiotherapy optimAl Design: An Academic Radiotherapy Treatment Design System, Ryan Acosta, William Brick, A Hanna, Allen G. Holder, D Lara, G McQuilen, D Nevin, P Uhlig, B Salter
Mathematics Faculty Research

Properties of unilevel bock circulants, William Trench
William F. Trench

On nonautonomous linear systems of differential and difference equations with $R$-symmetric coefficient matrices, William F. Trench
William F. Trench

Inverses of lower triangular Toeplitz matrices, William F. Trench
William F. Trench

Properties of multilevel block $\alpha$-circulants, William F. Trench
William F. Trench

Optimal Treatments for Photodynamic Therapy, Allen G. Holder, D LLagostera
Mathematics Faculty Research

Beam Selection in Radiotherapy Design, M Ehrgott, Allen G. Holder, Josh Reese
Mathematics Faculty Research

On the Stochastic Beverton-Holt Equation with Survival Rates, Paul H. Bezandry, Toka Diagana, Saber Elaydi
Mathematics Faculty Research

Existence and Stability of Periodic Orbits of Periodic Difference Equations with Delays, Ziyad AlSharawi, James Angelos, Saber Elaydi
Mathematics Faculty Research

An Introduction to Systems Biology for Mathematical Programmers, Evind Almaas, Allen G. Holder, Kevin D. Livingstone
Mathematics Faculty Research

The Influence of Dose Grid Resolution on Beam Selection Strategies in Radiotherapy Treatment Design, Ryan Acosta, Matthias Ehrgott, Allen G. Holder, Daniel Nevin, Josh Reese, Bill Salter
Mathematics Faculty Research

On the Asymptotic Stability of Linear Volterra Difference Equations of Convolution Type, Saber Elaydi, E Messina, A Vecchio
Mathematics Faculty Research

Characterization and properties of matrices with k-involutory symmetries, William F. Trench
William F. Trench

Population Models in Almost Periodic Environments, Toka Diagana, Saber Elaydi, Abdul-Aziz Yakubu
Mathematics Faculty Research

The Relationship Between Discrete Vector Quantization and the P-Median Problem, Allen G. Holder, G Lim, J Reese
Mathematics Faculty Research

Partitioning Multiple Objective Optimal Solutions with Applications in Radiotherapy Design, Allen G. Holder
Mathematics Faculty Research

Asymptotic Sign-Solvability, Multiple Objective Linear Programming, and The Nonsubstitution Theorem, L Clayton, R Herring, Allen G. Holder, J Holzer, C Nightingale, T Stohs
Mathematics Faculty Research

Solution Methods for the p-Median Problem: An Annotated Bibliography, Josh Reese
Mathematics Faculty Research

Periodic Difference Equations, Population Biology and the Cushing-Henson Conjectures, Saber Elaydi, Robert J. Sacker
Mathematics Faculty Research

An Extension of Sharkovsky’s Theorem to Periodic Difference Equations, Ziyad AlSharawi, James Angelos, Saber Elaydi, Leela Rakesh
Mathematics Faculty Research

Presentations of Finitely Generated Cancellative Commutative Monoids and Nonnegative Solutions of Systems of Linear Equations, Scott T. Chapman, Pedro A. García Sánchez, David Llena, José Carlos Rosales
Mathematics Faculty Research

The Relationship Between the Number of Shots and the Quality of Gamma Knife Radiosurgeries, D Cheek, Allen G. Holder, M Fuss, B Salter
Mathematics Faculty Research

Functional perturbations of nonoscillatory second order difference equations, William F. Trench
William F. Trench

Absolute equal distribution of the eigenvalues of discrete Sturm-Liouville problems, William F. Trench
William F. Trench

The Rényi-Ulam Pathological Liar Game with a Fixed Number of Lies, Robert B. Ellis, Vadim Ponomarenko, Catherine H. Yan
Mathematics Faculty Research

The Convergence of Difference Boxes, Antonio Behn, Christopher Kribs-Zaleta, Vadim Ponomarenko
Mathematics Faculty Research

Nonautonomous Beverton-Holt Equations and the Cushing-Henson Conjectures, Saber Elaydi, Robert J. Sacker
Mathematics Faculty Research

Relative Equilibria for the Generalized Rigid Body, Antonio Hernandez-Garduno, Jeffrey K. Lawson, Jerrold E. Marsden
Mathematics Faculty Research

Jump Systems and Laminated Manhattan Sets, Jessica Cuomo, Nkiruka Nwasokwa, Vadim Ponomarenko
Mathematics Faculty Research

Navy Personnel Planning and the Optimal Partition, Allen G. Holder
Mathematics Faculty Research

The Asymptotic Optimal Partition and Extensions of the Nonsubstitution Theorem, Julio R. Hasfura-Buenaga, Allen G. Holder, Jeffrey Stuart
Mathematics Faculty Research

Geometry of Jump Systems, Vadim Lyubashevsky, Chad Newell, Vadim Ponomarenko
Mathematics Faculty Research

Global Stability of Periodic Orbits of Non-Autonomous Difference Equations and Population Biology, Saber Elaydi, Robert J. Sacker
Mathematics Faculty Research

A Tutorial on Radiation Oncology and Optimization, Allen G. Holder, Bill Salter
Mathematics Faculty Research

Difference Equations and Discrete Dynamical Systems: Proceedings of the 9th International Conference, University of Southern California, Los Angeles, California, USA, 2-7 August 2004, Linda J S Allen, Bernd Aulbach, Saber Elaydi, Robert Sacker
Faculty Authored and Edited Books & CDs

Global Stability of Periodic Orbits of Non-Autonomous Difference Equations and Population Biology, Saber Elaydi, Robert J. Sacker
Mathematics Faculty Research

Multilevel matrices with involutory symmetries and skew symmetries, William F. Trench
William F. Trench

Asymptotic relationships between singular values of structured matrices similarly generated by different formal expansions of a rational function, William F. Trench
William F. Trench

On matrices with rotative symmetries, William F. Trench
William F. Trench

Characterization and properties of $(R,S)$-symmetric, $(R,S)$-skew symmetric, and $(R,S)$-conjugate matrices, William F. Trench
William F. Trench

Conic Blocking Sets in Desarguesian Projective Planes, Leanne D. Holder
Mathematics Faculty Research

Basin of Attraction of Periodic Orbits of Maps on the Real Line, Saber Elaydi, Robert J. Sacker
Mathematics Faculty Research

Difference Equations Versus Differential Equations, a Possible Equivalence for the Rössler system?, Christophe Letellier, Saber Elaydi, Luis A. Aguirre, Aziz Alaoui
Mathematics Faculty Research

Asymptotic Stability of Linear Difference Equations of Advanced Type, Fozi M. Dannan, Saber Elaydi
Mathematics Faculty Research

Skew-Product Dynamical Systems: Applications to Difference Equations, Saber Elaydi, Robert J. Sacker
Mathematics Faculty Research

A Frame Bundle Generalization of Multisymplectic Momentum Mappings, J Lawson
Mathematics Faculty Research

Reduction of Jump Systems, Vadim Ponomarenko
Mathematics Faculty Research

Simultaneous Data Perturbations and Analytic Center Convergence, Allen G. Holder
Mathematics Faculty Research

Radiotherapy Treatment Design and Linear Programming, Allen G. Holder
Mathematics Faculty Research

Asymptotic Solutions of a Discrete Schrödinger Equation Arising from a Dirac Equation with Random Mass, Bernd Aulbach, Saber Elaydi, Klaus Ziegler
Mathematics Faculty Research

Faà di Bruno’s Formula and Nonhyperbolic Fixed Points of One-Dimensional Maps, Vadim Ponomarenko
Mathematics Faculty Research

DRILL 3.1, Vadim Ponomarenko
Mathematics Faculty Research

An elementary note on asymptotic properties of Toeplitz and multilevel Toeplitz matrices, William F. Trench
William F. Trench

Simplification and strengthening of Weyl's definition of asymptotic equal distribution of two families of finite sets, William F. Trench
William F. Trench

Minimization problems for (R,S)-symmetric and (R,S)-skew symmetric matrices, William F. Trench
William F. Trench

Hermitian, Hermitian R-symmetric, and Hermitian R-skew symmetric Procrustes problems, William F. Trench
William F. Trench

Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry, William F. Trench
William F. Trench

Is the World Evolving Discretely?, Saber Elaydi
Mathematics Faculty Research

Nonautonomous Difference Equations: Open Problems and Conjectures, Saber Elaydi
Mathematics Faculty Research

Haplotyping and Minimum Diversity Graphs, C Davis, Allen G. Holder
Mathematics Faculty Research

Stability of Hyperbolic and Nonhyperbolic Fixed Points of One-Dimensional Maps, Fozi M. Dannan, Saber Elaydi, Vadim Ponomarenko
Mathematics Faculty Research

Difference Equations from Discretization of a Continuous Epidemic Model with Immigration of Infectives, Sophia Jang, Saber Elaydi
Mathematics Faculty Research

Difference Equations from Discretization of a Continuous Epidemic Model with Immigration of Infectives, Sophia Jang, Saber Elaydi
Saber Elaydi

Designing Radiotherapy Plans with Elastic Constraints and Interior Point Methods, Allen G. Holder
Mathematics Faculty Research

Mimeomatroids, Vadim Ponomarenko
Mathematics Faculty Research

Linear perturbations of a nonoscillatory second order differential equation II, William F. Trench
William F. Trench

Absolute equal distribution of families of finite sets, William F. Trench
William F. Trench

Absolute equal distribution of the spectra of Hermitian matrices, William F. Trench
William F. Trench

A note on asymptotic zero distribution of orthogonal polynomials, William F. Trench
William F. Trench

Spectral distribution of Hermitian Toeplitz matrices formally generated by rational functions, William F. Trench
William F. Trench

Poincaré Types Solutions of Systems of Difference Equations, Raghib Abu-Saris, Saber Elaydi, Sophia Jang
Mathematics Faculty Research

On the Number of Factorizations of an Element in an Atomic Monoid, Scott T. Chapman, Juan Ignacio García-García, Pedro A. García Sánchez, José Carlos Rosales
Mathematics Faculty Research

An Extension of the Fundamental Theorem of Linear Programming, A Brown, A Gedlaman, Allen G. Holder, S Martinez
Mathematics Faculty Research

Global Stability of Cycles: Lotka-Volterra Competition Model with Stocking, Saber Elaydi, Abdul-Aziz Yakubu
Mathematics Faculty Research

Spectral distribution of generalized Kac-Murdock-Szeg"o matrices, William Trench
William F. Trench

Linear perturbations of a nonoscillatory second order difference equation II, William Trench
William F. Trench

Periodic Points of the Family of Tent Maps, Julio R. Hasfura-Buenaga, Phillip Lynch
Mathematics Faculty Research

Asymptotically constant solutions of functional difference systems, William F. Trench
William F. Trench

Marginal and Parametric Analysis of the Central Optimal Solution, Allen G. Holder, J F. Sturm, S Zhang
Mathematics Faculty Research

Equaciones Differenciales con Problemas de Valores en la Frontera, William F. Trench
William F. Trench

Elementary Differential Equations (Chinese Edition), William Trench
William F. Trench

Properties of some generalizations of Kac-Murdock-Szeg"o matrices, William Trench
William F. Trench

Linear perturbations of a nonoscillatory second order difference equation, William Trench
William F. Trench

Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations with Boundary Value Problems, William F. Trench
Faculty Authored and Edited Books & CDs

A Rieman integral proof of a generalized Riemann lemma, William Trench
William F. Trench

Systems of difference equations with asymptotically constant solutions, William F. Trench
William F. Trench

Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szeg"o matrices,, William Trench
William F. Trench

Invertibly convergent infinite products of matrices, William F. Trench
William F. Trench

Linear asymptotic equilibrium for nilpotent systems of difference equations, William F. Trench
William F. Trench

Conditional convergence of infinite products, William F. Trench
William F. Trench

Linear asymptotic equilibrium and uniform, exponential, and strict stability of linear difference systems, William Trench
William F. Trench

Trench's canonical form for a disconjugate $n$th-order linear difference equation, William F. Trench, Bennette Harris, Robert Krueger
William F. Trench

Numerical solution of the eigenvalue problem for Hermitian Toeplitz matrices, William Trench, Michael Ng
William F. Trench

Numerical solution of the inverse eigenvalue problem for real symmetric Toeplitz matrices, William F. Trench
William F. Trench

Invertibly convergent infinite products of matrices, with applications to difference equations, William F. Trench
William F. Trench

Asymptotic behavior of solutions of asymptotically constant coefficient system of linear differential equations, William F. Trench
William F. Trench

Some spectral properties of Hermitian Toeplitz matrices, William Trench
William F. Trench

Asymptotic behavior of solutions of Poincar'e recurrence systems, William Trench
William F. Trench

A note on the real symmetric eigenvalue, William F. Trench
William F. Trench

Asymptotic distribution of the even and odd spectra of real symmetric Toeplitz matrices, William Trench
William F. Trench

Asymptotic behavior of solutions of Emden-Fowler difference equations with oscillating coefficients, William Trench
William F. Trench

Asymptotic behavior of solutions of Poincar'e difference equations, William F. Trench
William F. Trench

Interlacement of the even and odd spectra of real symmetric Toeplitz matrices, William F. Trench
William F. Trench

A note on computing eigenvalues of banded Hermitian Toeplitz matrices, William F. Trench
William F. Trench

Global solutions of nonlinear differential equations, William F. Trench
William F. Trench

Mild integrability conditions for global solutions of an elliptic equation, William F. Trench
William F. Trench

Asymptotic behavior of solutions of a linear second order difference equation, William F. Trench
William F. Trench

Asymptotic behavior of solutions of functionally perturbed nonoscillatory second order differential equations, William F. Trench
William F. Trench

Spectral evolution of a one-parameter extension of a real symmetric Toeplitz matrix, William F. Trench
William F. Trench

Efficient application of the Schauder-Tychonoff theorem to systems of functional differential equations, William F. Trench
William F. Trench

Numerical solution of the eigenvalue problem for Hermitian Toeplitz matrices, William Trench
William F. Trench

Existence of solutions of functional-differential systems with prescribed asymptotic behavior, William F. Trench
William F. Trench

General functional differential systems with asymptotically constant solutions, William F. Trench
William F. Trench

Systems of functional differential equations with asymptotically constant solutions, William F. Trench, T. Kusano
William F. Trench

Numerical solution of the eigenvalue problem for symmetric rationally generated Toeplitz matrices, William F. Trench
William F. Trench

Toeplitz systems associated with the product of a formal Laurent series and a Laurent polynomial, William F. Trench
William F. Trench

Asymptotic integration of a perturbed constant coefficient differential equation under mild integral smallness conditions, William F. Trench
William F. Trench

Mixed sublinear, superlinear, and singular systems of functional differential equations, William Trench
William F. Trench

Efficient application of the Schauder-Tychonoff theorem to functional perturbations of $x^(n)=0$, William F. Trench
William F. Trench

Characteristic polynomials of symmetric rationally generated Toeplitz matrices, William Trench
William F. Trench

First integrals for equations with nonlinearities of the Emden-Fowler type, William Trench, Leon Bahar
William F. Trench

A note on solving nearly triangular Toeplitz systems, William Trench
William F. Trench

Existence and nonoscillation theorems for an Emden-Fowler equation with deviating argument, William F. Trench
William F. Trench

Global existence of nonoscillatory solutions of perturbed general disconjugate equations, William F. Trench, T. Kusano
William F. Trench

Global existence of solutions of mixed sublinear-superlinear differential equations, William Trench
William F. Trench

Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions, William Trench
William F. Trench

Linear perturbations of a nonoscillatory second order equation, William Trench
William F. Trench

On the eigenvalue problem for a class of band matrices including those with Toeplitz inverses, William F. Trench
William F. Trench

Extensions of a theorem of Wintner on systems with asymptotically constant solutions, William F. Trench
William F. Trench

Solution of systems with Toeplitz matrices generated by rational functions, William F. Trench
William F. Trench

Global existence theorems for solutions of nonlinear differential equations with prescribed asymptotic behavior, William Trench, T. Kusano
William F. Trench

On the eigenvalue problem for Toeplitz band matrices, William F. Trench
William F. Trench

On $t_\infty$ quasi-similarity of linear systems, William F. Trench
William F. Trench

Eventual disconjugacy of a linear differential equation II, William F. Trench
William F. Trench

Linear perturbations of general disconjugate equations, William F. Trench
William F. Trench

Explicit inversion formulas for Toeplitz band matrices, William F. Trench
William F. Trench

Functional perturbations of second order differential equations, William F. Trench
William F. Trench

On the eigenvalue problem for Toeplitz matrices generated by rational functions, William F. Trench
William F. Trench

Existence of global solutions with prescribed asymptotic behavior for nonlinear differential equations, William F. Trench
William F. Trench

Asymptotic integration of linear differential equations subject to mild integral conditions, William Trench
William F. Trench

Asymptotics of differential systems with deviating arguments, William F. Trench
William F. Trench

Asymptotic behavior of solutions of an n-th order differential equation, William F. Trench
William F. Trench

Asymptotic theory of perturbed general disconjugate equations II, William F. Trench
William F. Trench

Eventual disconjugacy of a linear differential equation, William Trench
William F. Trench

Systems of differential equations subject to mild integral smallness conditions, William Trench
William F. Trench

Asymptotic integration of $y^(n) +p(t)y^gamma =f(t)$ under mild integral smallness conditions, William F. Trench
William F. Trench

Asymptotic theory of perturbed general disconjugate equations, William F. Trench
William F. Trench

Limits of certain sequences associated with cylinder functions, William F. Trench
William F. Trench

An oscillation condition for differential equations of arbitrary order, William F. Trench
William F. Trench

Interpolating functions associated with second order differential, William F. Trench
William F. Trench

Band matrices with Toeplitz inverses, William F. Trench, T N. E. Greville
William F. Trench

Solutions Manual to Accompany Advanced Calculus, William Trench
William F. Trench

Advanced Calculus, William Trench
William F. Trench