Title Difference equations and discrete dynamical systems : proceedings of the 9th International Conference, University of Southern California, Los Angeles, California, USA, 2-7 August 2004 / editors, Linda J.S. Allen [and others]

Published Singapore ; Hackensack, NJ : World Scientific, ©2005

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Description 1 online resource (ix, 324 pages) : illustrations Contents A Discrete-Time Beverton-Holt Competition Model / Azmy S. Ackleh, Youssef M. Dib, Sophia R.-J. Jang 1 -- A Dynamic Analysis of the Bush Fiscal Policy / Richard H. Day, Chengyu Yang 11 -- A Hybrid Approximation to Certain Delay Differential Equation with a Constant Delay / George Seifert 27 -- Compulsory Asymptotic Behavior of Solutions of Two-Dimensional Systems of Difference Equations / Josef Diblik, Irena Ruzickova 35 -- Discrete Models of Differential Equations: The Roles of Dynamic Consistency and Positivity / Ronald E. Mickens 51 -- Enveloping Implies Global Stability / Paul Cull 71 -- Global Asymptotic Stability in the Jia Li Model for Genetically Altered Mosquitoes / Robert J. Sacker, Hubertus F. von Bremen 87 -- Global Behavior of Solutions of a Nonlinear Second-Order Nonautonomous Difference Equation / Vlajko L. Kocic 101 -- How Can Three Species Coexist in a Periodic Chemostat? Mathematical and Numerical Study / Shinji Nakaoka, Yasuhiro Takeuchi 121 -- Information-Theoretic Measures of Discrete Orthogonal Polynomials / Jesus Sanchez Dehesa, R. Alvarez-Nodarse, Pablo Sanchez-Moreno, R.J. Yanez 135 -- Local Approximation of Invariant Fiber Bundles: An Algorithmic Approach / Christian Potzsche, Martin Rasmussen 155 -- Necessary and Sufficient Conditions for Oscillation of Coupled Nonlinear Discrete Systems / Serena Matucci, Pavel Rehak 171 -- Non-Standard Finite Difference Methods for Dissipative Singular Perturbation Problems / Jean M.-S. Lubuma, Kailash C. Patidar 185 -- On a Class of Generalized Autoregressive Processes / Kamal C. Chanda 199 -- On [characters not reproducible] with Period-Two Coefficients / Carol H. Gibbons, Carol B. Overdeep 207 -- Periodically Forced Nonlinear Difference Equations with Delay / Abdul-Aziz Yakubu 217 -- Regularity of Difference Equations / Jarmo Hietarinta 233 -- Robustness in Difference Equations / Jack K. Hale 247 -- Solvability of the Discrete LQR-Problem under Minimal Assumptions / Roman Hilscher, Vera Zeidan 273 -- Some Discrete Competition Models and the Principle of Competitive Exclusion / Jim M. Cushing, Sheree LeVarge 283 -- Stability under Constantly Acting Perturbations for Difference Equations and Averaging / Vladimir Burd 303 -- Symbolic Dynamics in the Study of Bursting Electrical Activity / Jorge Duarte, Jose Sousa Ramos, Luis Silva 313 Summary Difference Equations or Discrete Dynamical Systems is a diverse field which impacts almost every branch of pure and applied mathematics. Not surprisingly, the techniques that are developed vary just as broadly. No more so is this variety reflected than at the prestigious annual International Conference on Difference Equations and Applications. Organized under the auspices of the International Society of Difference Equations, the Conferences have an international attendance and a wide coverage of topics. The contributions from the conference collected in this volume invite the mathematical community to see a variety of problems and applications with one ingredient in common, the Discrete Dynamical System. Readers may also keep abreast of the many novel techniques and developments in the field. The special emphasis of the meeting was on mathematical biology and accordingly about half of the articles are in the related areas of mathematical ecology and mathematical medicine Notes "International Society of Difference Equations." Bibliography Includes bibliographical references Notes English Print version record Subject Difference equations -- Congresses Differentiable dynamical systems -- Congresses Biology -- Mathematical models -- Congresses MATHEMATICS -- Calculus. MATHEMATICS -- Mathematical Analysis. Biology -- Mathematical models Difference equations Differentiable dynamical systems Genre/Form Conference papers and proceedings Form Electronic book Author Allen, Linda J. S International Society of Difference Equations. ISBN 9789812701572 9812701575 1281897205 9781281897206 9786611897208 6611897208

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