The recent surge in research activity in difference equations and applications has been driven by the wide applicability of discrete models to such diverse fields as biology, engineering, physics, economics, chemistry, and psychology. The 68 papers that make up this book were presented by an international group of experts at the Second International Conference on Difference Equations, held in Veszprém, Hungary, in August, 1995. Featuring contributions on such topics as orthogonal polynomials, control theory, asymptotic behavior of solutions, stability theory, special functions, numerical analysis, oscillation theory, models of vibrating string, models of chemical reactions, discrete competition systems, the Liouville-Green (WKB) method, and chaotic phenomena, this volume offers a comprehensive review of the state of the art in this exciting field.
1. Some New Aspects of a Two-Dimensional Reaction Model 2. Variation of Parameter Methods for Difference Equations and Applications 3. On the Extended Newton's Method 4. Inhomogeneous Discrete Variational Problems
Periodic and Nonperiodic Solutions of the Difference Equation xn+1 = max (x2n9 A)/xnxn-1 5. Applications of Lie Groups to First Order Difference Equations