图书信息

内容简介

目录

图书信息

书名：泛函数分方程理论

出版社: 世界图书出版公司; 第1版 (2003年11月1日)

平装: 365页

开本: 24开

isbn: 7506265907

条形码: 9787506265904

商品尺寸: 22.2 x 14.8 x 1.8 cm

商品重量: 522 g

品牌: 世界图书出版公司北京公司

内容简介

Sincethepublicationofmylecturenotes,FunctionalDifferentialEquationsintheAppliedMathematicalSciencesseries,manynewdevelopmentshaveoccurred.Asaconsequence,itwasdecidednottomakeafewcorrectionsandadditionsforasecondeditionofthosenotes,buttopresentamorecomprehensivetheory.Thepresentworkattemptstoconsolidatethoseelementsofthetheorywhichhavestabilizedandalsotoincluderecentdirectionsofresearch. {zzjj}

目录

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