词条 | 带差分方程的振动性(英) |
释义 | 《带差分方程的振动性》英文版本是由本社编写,于2008年出版。本书共分为七章。第一章,介绍了一些初步的材料,包括和一些新的结果从有限差分法的这是采取从专论阿加沃(2000)。第二章至第六章讲述振动的一阶、二阶方程及其求解和nonoscillation功能方程。在最后一章里,第七章研究振动解的非振动解和存在的时滞偏差分方程。 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In the presentmonograph,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 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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