Description
BIRKHAUSER BOSTON Advances In Dynamic Equations On Time Scales by Martin Bohner , Allan C. Peterson
Excellent introductory material on the calculus of time scales and dynamic equations.; Numerous examples and exercises illustrate the diverse application of dynamic equations on time scales.; Unified and systematic exposition of the topics allows good transitions from chapter to chapter.; Contributors include Anderson, M. Bohner, Davis, Dosly, Eloe, Erbe, Guseinov, Henderson, Hilger, Hilscher, Kaymakcalan, Lakshmikantham, Mathsen, and A. Peterson, founders and leaders of this field of study.; Useful as a comprehensive resource of time scales and dynamic equations for pure and applied mathematicians.; Comprehensive bibliography and index complete this text. Introduction to the The Time Scales Calculus (Bohner/Guseinov/Peterson) * Some Dynamic Equations (Akin-Bohner/Bohner) * Nabla Dynamic Equations (Anderson/Bullock/Erbe/Peterson/Tran) * Second-Order Self-Adjoint Equations with Mixed Derivatives (Messer) * Riemann and Lebesgue Integration (Bohner/Guseinov) * Lower and Upper Solutions for Two Point Boundary Value Problems (Akin-Bohner/Atici/Kaymakcalan) * Positive Solutions of Boundary Value Problems (Anderson/Avery/Davis/Henderson/Yin) * Disconjugacy and Higher Order Dynamic Equations (Eloe) * Boundary Value Problems on Infinite Intervals: A Topological Approach (Agarwal/Bohner/O'Regan) * Symplectic Dynamic Systems (Dosly/Hilger/Hilscher) * Bibliography * Index