帶差分方程的振動性（英）

《帶差分方程的振動性》英文版本是由本社編寫，於2008年出版。本書共分為七章。第一章，介紹了一些初步的材料，包括和一些新的結果從有限差分法的這是採取從專論阿加沃(2000)。第二章至第六章講述振動的一階、二階方程及其求解和nonoscillation功能方程。在最後一章里，第七章研究振動解的非振動解和存在的時滯偏差分方程。

基本介紹

• 書名：帶差分方程的振動性(英)
• 作者：本社編
• ISBN：10位[7030194381]13位[9787030194381]
• 定價：￥60.00元
• 出版社：科學出版社
• 裝幀：平裝

內容提要

Inthepresentmonograph,IhavecollectedsomeoftheresultswhichmycooperatorsandIhaveobtainedinthelastfewyears.Thebookisdividedintosevenchapters.Chapter1introducessomepreliminarymaterials,includingandsomeresultsfromcalculusoffinitedifferenceswhicharetakenfromthemonographofAgarwal(2000).Chapter2providessomeresultsintheoscillationoffirstorderdelaydifferenceequations.Chapter3discussesoscillation,nonoscillationandasymptoticclassificationofnonoscillatorysolutionsofsecondnonlineardifferenceequations.Chapter4investigatestheoscillationandexistenceofnonoscillatorysolutionsofhigherorderneutraldelaydifferenceequations.Chapter5dealswithoscillationfordelaydifferenceequationswithcontinuousvariables.Chapter6concernsoscillationandnonoscillationoffunctionalequations.Thelastchapter,Chapter7studiesoscillationandexistenceofnonoscillatorysolutionsofdelaypartialdifferenceequations.

編輯推薦

In the presentmonograph,IhavecollectedsomeoftheresultswhichmycooperatorsandIhaveobtainedinthelastfewyears.Thebookisdividedintosevenchapters.Chapter1introducessomepreliminarymaterials,includingandsomeresultsfromcalculusoffinitedifferenceswhicharetakenfromthemonographofAgarwal(2000).Chapter2providessomeresultsintheoscillationoffirstorderdelaydifferenceequations.Chapter3discussesoscillation,nonoscillationandasymptoticclassificationofnonoscillatorysolutionsofsecondnonlineardifferenceequations.Chapter4investigatestheoscillationandexistenceofnonoscillatorysolutionsofhigherorderneutraldelaydifferenceequations.Chapter5dealswithoscillationfordelaydifferenceequationswithcontinuousvariables.Chapter6concernsoscillationandnonoscillationoffunctionalequations.Thelastchapter,Chapter7studiesoscillationandexistenceofnonoscillatorysolutionsofdelaypartialdifferenceequations.

目錄

Preface

Chapter1Preliminaries

1.0Introduction

1.1Notations

1.2Definitions

1.3SomeBasicTheoremsonCalculusofFiniteDifferences

1.4SomeFixedPointTheorems

Chapter2　FirstOrderDelayDifferenceEquations

2.0Introduction

2.1OscillationofFirstOrderDelayDifferenceEquationsinCriticalStates

2.2OscillationofFirstOrderDelayDifferenceEquationswithVariableDelays

2.3SemicyclesoftheOscillatorySolutionsofFirstOrderDelayDifferenceEquations

2.4Notes

Chapter3SecondOrderDelayDifferenceEquations

3.0Introduction

3.1OscillationandNonoscillationofSecondOrderHalf-LinearDifferenceEquations

3.2ClassificationofNonoscillatorySolutionsofSecondOrderNonlinearNeutralDelayDifferenceEquations

3.3ExistenceofNonoscillatorySolutionsofSecondOrderNonlinearNeutralDelayDifferenceEquations

3.4Notes

Chapter4HigherOrderDelayDifferenceEquations

4.0Introduction

4.1OscillationofHigherOrderLinearDifferenceEquations

4.2OscillationofHigherOrderLinearNeutralDelayDifferenceEquations

4.3ComparisonTheoremsforOscillationofHigherOrderNonlinearNeutralDelayDifferenceEquations

4.4ExistenceofNonoscilatorySolutionsofHigherOrderNonlinearNeutralDelayDifferenceEquationss

4.5NonoscillatorySolutionsofHigherOrderNeutralDelayDifferenceEquationswithForcingTerms

4.6ClassificationofNonoscillatorySolutionsofHigherOrderNonlinearNeutralDelayDifferenceEquations

4.7Notes

Chapter5DelayDifferenceEquationswithContinuousVariables

5.0Introduction

5.1TheDistributionofZerosofLinearDifferenceEquationswithContinuousVariables

5.2TheDistributionofZerosofNonlinearDelayDifferenceEquationswithContinuousVariables

5.3OscillationofNonlinearNeutralDifferenceEquationswithContinuousVariables

5.4Notes

Chapter6FunctionalEquations

6.0Introduction

6.1OscillationofFunctionalEquationswithContinuousVariables.

6.2OscillationofNonlinearFunctionalEquations

6.3OscillationofTwo-VariablesFunctionalEquations

6.4Notes

Chapter7PartialDifferenceEquations

7.0Introduction

7.1OscillationofLinearPartialDifferenceEquations

7.2ComparisonTheoremsforOscillationofPartialDifferenceEquations

7.3ExistenceofBoundedandUnboundedNonoscillatorySolutionofPartialDifferenceEquations

7.4Notes

References