带差分方程的振动性(英)

作者：本社编

ISBN：10位［7030194381］13位［9787030194381］

出版社：科学出版社

出版日期：2008-1-1

定价：￥60.00元

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

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

目录Preface

Chapter1Preliminaries

1.0Introduction

1.1Notations

1.2Definitions

1.3SomeBasicTheoremsonCalculusofFiniteDifferences

1.4SomeFixedPointTheorems

Chapter2FirstOrderDelayDifferenceEquations

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