出版社：世界图书出版公司北京公司
年代：2009
定价：69.0
本套书第2卷分两部分，本书为第1部分，主要介绍单调算子理论。主要目次如下：Ritz方法和正交性概念，微分方程和积分方程的伽辽金方法，Friedrich展开，自伴性概念，差分方法和稳定性，线性单调问题：线性算子方法的伽辽金方法的收敛性，希尔伯特空间方法以及线性椭圆型、抛物型、双曲型微分方程。
PrefacetoPartH/A
INTRODUCTIoNToTHESUBJECT
CHAPTER18VariationaJProblems，theRitzMethod，andtheIdeaofOrthogonality
CHAPTER19TheGalerkinMethodforDifferentialandIntegralEquations，theFriedrichsExtension，andtheIdeaofSelf-Adjointness
CHAPTER20DifferenceMethodsandStabilityLINEARMONOTONEPROBLEMS
CHAPTER21AuxiliaryToolsandtheConvergenceoftheGalerkinMethodforLinearOperatorEquations
CHAPTER22HilbertSpaceMethodsandLinearEllipticDifferentialEquations
CHAPTER23HilbertSpaceMethodsandLinearParabolicDifferentialEquations
CHAPTER24HilbertSpaceMethodsandLinearHyperbolicDifferential‘Equations
PrefacetoPartll/B
GENERALIZATIONToNONLINEARSTATIoNARYPRoBLEMS
BasicIdeasoftheTheoryofMonotoneOperators
CHAPTER25LipschitzContinuous，StronglyMonotoneOperators，theProjectionIterationMethod，andMonotonePotentialOperators
CHAPTER26MonotoneOperatorsandQuasi．LinearEllipticDifferentialEquations
CHAPTER27PseudomonotoneOperatorsandQuasi．LinearEllipticDifierentialEquations
CHAPTER28MonotoneOperatorsandHammersteinIntegralEquations
CHAPTER29NoncoerciveEquations，NonlinearFredholmAlternatives，LocallyMonotoneOperators，Stability，andBifurcation
GENERALIZATIONTONONLINEARNONSTATIONARYPROBLEMS
CHAPTER30First-OrderEvolutionEquationsandtheGalerkinMethod
CHAPTER31MaximalAccretiveOperators,NonlinearNonexpansiveSemigroups,andFirst-OrderEvolutionEquations
CHAPTER32MaximalMonotoneMappings
CHAPTER33Second-OrderEvolutionEquationsandtheGalerkinMethod
GENERALTHEORYOFDISCRETIZATIONMETHODS
CHAPTER34InnerApproximationSchemes,A-ProperOperators,andtheGalerkinMethod
CHAPTER35ExternalApproximationSchemes,A-ProperOperators,andtheDifferenceMethod
CHAPTER36MappingDegreeforA-ProperOperators
Appendix
References
ListofSymbols
ListofTheorems
ListoftheMostImportantDefinitions
ListofSchematicOverviews
ListofImportantPrinciples
Index
Thisisthesecondofafive-volumeexpositionofthemainprinciplesofnonlinearfunctionalanalysisanditsnumerousapplicationstothenaturalsciencesandmathematicaleconomics.Thepresentationisself-containedandaccessibletoabroaderaudienceofmathematicians,naturalscientists,andengineers.Thebasiccontentcanbeunderstoodevenbythosereaderswhohavelittleornoknowledgeoflinearfunctionalanalysis.
| 书籍详细信息 | |||
| 书名 | 非线性泛函分析及其应用．第2A卷，线性单调算子站内查询相似图书 | ||
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| 出版地 | 北京 | 出版单位 | 世界图书出版公司北京公司 |
| 版次 | 1版 | 印次 | 1 |
| 定价(元) | 69.0 | 语种 | 英文 |
| 尺寸 | 14 | 装帧 | 平装 |
| 页数 | 印数 | 1000 | |
非线性泛函分析及其应用．第2A卷，线性单调算子是世界图书出版公司北京公司于2009.08出版的中图分类号为 O177.91 的主题关于 非线性－泛函分析－英文 ,线性算子：单调算子－英文 的书籍。