帶差分方程的振動性(英)

帶差分方程的振動性(英)

《帶差分方程的振動性(英)》,作者是 科學出版社 ,由 科學 出版社於 2008 年出版。描述的是In the present monograph, I have collected some of the results which my cooperators and I have obtained in the last few years. The book is divided into seven chapters.

基本信息

作者:本社編
ISBN:10位[7030194381]13位[9787030194381]
出版社科學出版社
出版日期:2008-1-1
定價:¥60.00元

內容提要

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

編輯推薦

Inthepresentmonograph,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

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