泛函数分方程理论

图书标准信息

• 作者 J.Hale 编
• 出版社 世界图书出版公司
• 出版时间 2003-11
• 版次 1
• ISBN 9787506265904
• 定价 47.00元
• 装帧 平装
• 开本 其他
• 纸张 胶版纸
• 页数 365页

【内容简介】

Sincethepublicationofmylecturenotes,FunctionalDifferentialEquationsintheAppliedMathematicalSciencesseries,manynewdevelopmentshaveoccurred.Asaconsequence,itwasdecidednottomakeafewcorrectionsandadditionsforasecondeditionofthosenotes,buttopresentamorecomprehensivetheory.Thepresentworkattemptstoconsolidatethoseelementsofthetheorywhichhavestabilizedandalsotoincluderecentdirectionsofresearch.

【目录】

Introduction
Chapter1Lineardifferentialdifferenceequations
1.1Differentialanddifferenceequations
1.2Retardeddifferentialdifferenceequations
1.3Exponentialestimatesofx(，f）
1.4Thecharacteristicequation
1.5Thefundamentalsolution
1.6Thevariation-of-constantsformula
1.7Neutraldifferentialdifferenceequations
1.8Supplementaryremarks

Chapter2Retardedfunctionaldifferentialequations:basictheory
2.1Definition
2.2Existence，uniqueness，andcontinuousdependence
2.3Continuationofsolutions
2.4Differentiabilityofsolutions
2.5Backwardcontinuation
2.6Caratheodoryconditions
2.7Supplementaryremarks

Chapter3Properiesofthesolutionmap
3.1Finite-orinfinite-dimensionalproblem
3.2Equivalenceclassesofsolutions
……
Chapter4Autonomousandperidicprocesses
Chapter5Stabilitytheory
Chapter6Generallinearsystems
Chapter7Linearautonomousequations
Chapter8Linearperiodicsystems
Chapter9Pertubedlinearsystems
Chapter10Behaviornearequilibiumandperiodicorbitsforautonomousequations
Chapter11periodicsoultonsofautonomousequations
Chapter12Eqationsofneutraltype
Chapter13Globaltheory
Appendix
Stabilityofcharactersitcequations
Bibliography
Index