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 ... [et al.].

Format:

Book

Conference/Event

Author/Creator:

International Conference on Difference Equations and Applications, Corporate Author.

Contributor:

Allen, Linda J. S.

International Society of Difference Equations.

Conference Name:

International Conference on Difference Equations and Applications (9th : 2004 : Los Angeles, Calif.)

International Conference on Difference Equations and Applications

Language:

English

Subjects (All):

Biology--Mathematical models--Congresses.

Biology.

Difference equations--Congresses.

Difference equations.

Differentiable dynamical systems--Congresses.

Differentiable dynamical systems.

Physical Description:

1 online resource (336 p.)

Place of Publication:

Hackensack, NJ : World Scientific, c2005.

Language Note:

English

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 commu

Contents:

Preface; Contents; A Discrete-Time Beverton-Holt Competition Model; 1 Introduction; 2 A Beverton-Holt competition model; 3 Concluding remarks; A Dynamic Analysis of the Bush Fiscal Policy; 1. Introduction; 2. The Basic DADS Growth Model; 3. Fiscal Policy: Short Run Effects; 4. Steady State Growth; 5. Fiscal Policy: Long Run Effects; 6 A Nonlinear Complication; A Hybrid Approximation to Certain Delay Differential Equation with a Constant Delay; 1. INTRODUCTION; 2. THE GENERAL CASE; 3. SOME SPECIAL CASES

Compulsory Asymptotic Behavior of Solutions of Two-Dimensional Systems of Difference Equations1 Introduction; 2 Main Result; 3 Remarks; 4 Examples; 5 One Difference Equation of Emden-Fowler Type; Discrete Models of Differential Equations: The Roles of Dynamic Consistency and Positivity; 1. INTRODUCTION; 2. DYNAMIC CONSISTENCY AND NSFD RULES; 3. DIFFUSION EQUATION; 4. DAMPED WAVE EQUATION; 5. CANCER DYNAMICS; 6. DISCUSSION; Enveloping Implies Global Stability; 1 Introduction; 2 Background and Definitions; 3 Theorems; 4 Simple Models of Population Growth; 5 Enveloping is Only Sufficient

6 ConclusionGlobal Asymptotic Stability in the Jia Li Model for Genetically; 1 Introduction; 2 Model for population of mosquitoes; 3 Global asymptotic stability; 4 Numerical examples; 5 The model is not robust; 6 Conclusions; Global Behavior of Solutions of a Nonlinear Second-Order Nonautonomous Difference Equation; 1 Introduction and Preliminaries; 2 Permanence; 3 Extreme Stability; 4 Applications; How Can Three Species Coexist in a Periodic Chemostat? :Mathematical and Numerical Study; 1 Introduction; 2 Reduction to the limiting system; 3 Average competition; 4 Numerical simulation

5 ConclusionsInformation-Theoretic Measures of Discrete Orthogonal Polynomials; 1 Introduction; 2 The information measures of a discrete random variable; 3 The classical orthogonal polynomials of a discrete variable; 4 Information measures of the classical orthogonal polynomials of a discrete variable; 5 Conclusions; Local Approximation of Invariant Fiber Bundles: An Algorithmic Approach; 1. PRELIMINARIES; 2. SUFFICIENT CRITERIA FOR AN EXPONENTIAL DICHOTOMY; 3. TRANSFORMATION OF DIFFERENCE EQUATIONS; 4. INVARIANT FIBER BUNDLES; 5. EXAMPLES

Necessary and Sufficient Conditions for Oscillation of Coupled Nonlinear Discrete Systems1 Introduction; 2 Notations and Preliminary Results; 3 Main Result; 4 Extensions and Remarks; Non-Standard Finite Difference Methods for Dissipative Singular Perturbation Problems; 1 Introduction; 2 Exact Schemes; 3 The Non-standard Finite Difference Schemes; 4 Test Examples and Numerical Results; 5 Discussion; On a Class of Generalized Autoregressive Processes; 1 INTRODUCTION; 2 AUTOREGRESSIVE MODELS (CLASSIC); 3 GENERALIZED AUTOREGRESSIVE MODELS; On Xn+1=BnXn+YnXn-1/An+BnXn with Period-Two Coefficients

1 Introduction and Preliminaries

Notes:

"International Society of Difference Equations."

Includes bibliographical references.

ISBN:

9786611897208

9781281897206

1281897205

9789812701572

9812701575