Since the publication of my lecture notes， Functional Differential Equations in the Applied Mathematical Sciences series， many new developments have occurred. As a consequence， it was decided not to make a few corrections and additions for a second edition of those notes， but to present a more comprehensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research.
作者簡介
暫缺《泛函微分方程理論》作者簡介
圖書目錄
Introduction Chapter 1 Linear differential difference equations 1.1 Differential and difference equations 1.2 Retarded differential difference equations 1.3 Exponential estimates of x(， f) 1.4 The characteristic equation 1.5 The fundamental solution 1.6 The variation-of-constants formula 1.7 Neutral differential difference equations 1.8 Supplementary remarks Chapter 2 Retarded functional differential equations: basic theory 2.1 Definition 2.2 Existence， uniqueness， and continuous dependence 2.3 Continuation of solutions 2.4 Differentiability of solutions 2.5 Backward continuation 2.6 Caratheodory conditions 2.7 Supplementary remarks Chapter 3 Properies of the solution map 3.1 Finite-or infinite-dimensional problem 3.2 Equivalence classes of solutions …… Chapter4 Autonomous and peridic processes Chapter5 Stability theory Chapter6 General linear systems Chapter7 Linear autonomous equations Chapter8 Linear periodic systems Chapter9 Pertubed linear systems Chapter10 Behavior near equilibium and periodic orbits for autonomous equations Chapter11 periodic soultons of autonomous equations Chapter12 Eqations of neutral type Chapter13 Global theory Appendix Stability of charactersitc equations Bibliography Index
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