1st Edition

Communications in Difference Equations Proceedings of the Fourth International Conference on Difference Equations

Edited By Saber N. Elaydi, Jerry Popenda, Jerry Rakowski Copyright 2000

    This collection of carefully refereed and edited papers were originally presented at the Fourth International Conference on Difference Equations held in Poznan, Poland. Contributions were from a diverse group of researchers from several countries and featured discussions on the theory of difference equations, open problems and conjectures, as well as related applications. Whether new to the area of research, or a veteran, this volume will be a valuable resource on the recent advances in the field of difference equations.

    Preface UNIVERSAL FUNCTIONS ON COMPLEX SPECIAL LINEAR GROUPS; BRANCHING RANDOM WALK WITH A SINGLE SOURCE; DIFFERENCE EQUATIONS IN GROUPS; GEOMETRY OF FIRST INTEGRALS FOR 2ND ORDER DIFFERENCE EQUATIONS; BEHAVIOR OF SOLUTIONS OF PERTURBED QUASILINEAR DIFFERENCE EQUATIONS; IDENTITIES FOR ORTHOGONALITY AND APPLICATIONS; ON THE NONAUTONOMOUS DIFFERENCE EQUATION ; CENTRAL LIMIT THEOREMS FOR LINEAR, NONLINEAR AND MIXING PROCESSES; INVITATION TO PARTIAL DIFFERENCE EQUATIONS; RETRACT PRINCIPLE FOR DIFFERENCE EQUATIONS ON A PHASE PATTERN STRUCTURE OF UNIMODAL 2-ENDOMORPHISMS; TRIGONOMETRIC TRANSFORMATION AND OSCILLATORY PROPERTIES OF SECOND ORDER DIFFERENCE EQUATIONS; ON GLOBAL BIFURCATION THEORY OF POLYNOMIAL DYNAMICAL SYSTEMS AND ITS APPLICATIONS; GLOBAL STABILITY IN SOME POPULATION MODELS; RECURRENCE EQUATIONS IN SOLVING OPERATOR EQUATIONS OF THE SPECIAL TYPE; ON DISCONJUGACY FOR VECTOR LINEAR HAMILTONIAN SYSTEMS ON TIME SCALES; A NOTE ON THE ASYMPTOTIC PROPERTIES OF SOME NONAUTONOMOUS MATRIX DIFFERENCE EQUATIONS; A GENERALIZATION OF THE MILLOUX-HARTMAN THEOREM FOR NONLINEAR SYSTEMS; SPATIAL DISCRETIZATION OF PULLBACK ATTRACTORS OF NONAUTONOMOUS DIFFERENCE EQUATIONS; A DISCRETE NONLINEAR AND NON-AUTONOMOUS MODEL OF CONSENSUS FORMATION; TRAJECTORIES FOR THE CASE OF A RATIONAL SYSTEM OF DIFFERENCE EQUATIONS; APPLYING THE SYSTEM DERIVE TO INVESTIGATE THE TRUNCATION RELATED TO THE MONOMIALS DEFINED ON THE SET OF NATURAL NUMBERS; ANALYSIS OF INFLUENCE OF SELECTED PARAMETERS ON THE BEHAVIOUR OF THE DISCRETE LOGISTIC EQUATION; ASYMPTOTIC BEHAVIOUR OF OSCILLATORY SOLUTIONS OF A SECOND ORDER DIFFERENCE EQUATION; CHAOTIC BIFURCATIONS ALONG ALGEBRAIC CURVES; DISCRETE APPROXIMATIONS AND COMPUTER INVESTIGATIONS OF ISOLATED INVARIANT SETS; SEMI-HYPERBOLICITY AND INVERSE SHADOWING; FUNDAMENTAL SOLUTIONS FOR INFINITE DISCRETE BEAMS ON ELASTIC FOUNDATION; DISCRETE CLASSICAL ORTHOGONAL POLYNOMIALS AND INTERFEROMETRY; A REID TYPE ROUNDABOUT THEOREM FOR SECOND ORDER HALF-LINEAR DIFFERENCE EQUATIONS AND SOME OF ITS APPLICATIONS; SOME APPLICATIONS OF STOCHASTIC EQUATIONS TO INDUSTRIAL PROBLEMS; ON THE BEHAVIOR OF SOLUTIONS OF HIGHER ORDER DIFFERENCE EQUATION; ON EXPONENTIAL DICHOTOMY AND INVARIANT SETS OF IMPULSIVE SYSTEMS; OPTIMAL SEQUENTIAL SEARCH OF ORDER 2(2m- 1); ALGORITHMS FOR COMPUTING THE DISTANCE TO INSTABILITY; STABILITY AND BOUNDEDNESS OF DELAY DIFFERENCE SYSTEMS IN TERMS OF TWO MEASURES

    Biography

    S. Elaydi, Trinity University, San Antonio, Texas, USA. G. Ladas, University of Rhode Island, Kingston, USA. J. Popendat and J. Rakowski, Poznan University of Technology, Poland.