introduction to the theory of infinite-dimensional dissipative systems

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1、I.D.ChueshovAuthor:I.D.ChueshovI.D.ChueshovThisbookprovidesanexhau-stiveintroductiontothescopeIntroductiontotheTheoryTitle:IntroductiontotheTheoryofmainideasandmethodsoftheofInfiniteDimensionalofInfiniteDimensionaltheoryofinfinite-dimensionaldis-Dissipative

2、SystemsDissipativeSystemssipativedynamicalsystemswhich966–7021–64–5ISBN:966–7021–64–5hasbeenrapidlydevelopinginre-centyears.IntheexamplessystemsgeneratedbynonlinearpartialdifferentialequationsI.D.ChueshovI.D.Chueshovarisinginthedifferentproblemsofmodernmechan

3、icsofcontinuaareconsidered.ThemaingoalofthebookistohelpthereaderIntroductionTheoryIntroductiontotheTheorytomasterthebasicstrategiesusedInfinite-DimensionalofInfinite-Dimensionalinthestudyofinfinite-dimensionaldissipativesystemsandtoqualifyDissipativeDissipati

4、vehim/herforanindependentscien-Systems2002Systemstificresearchinthegivenbranch.Expertsinnonlineardynamicswillfindmanyfundamentalfactsinthe»convenientandpracticalforminthisbook.UniversitylecturesincontemporarymathematicsThecoreofthebookiscom-posedofthecoursesg

5、ivenbytheauthorattheDepartmentofMechanicsandMathematicsatKharkovUniversityduringanumberofyears.Thisbookcon-tainsalargenumberofexerciseswhichmakethemaintextmorecomplete.ItissufficienttoknowthefundamentalsoffunctionalanalysisandordinarydifferentialCTAequationst

6、oreadthebook.TranslatedbyORDERYoucanORDERthisbookConstantinI.ChueshovfromtheRussianedition(«ACTA»,1999)whilevisitingthewebsiteof«ACTA»ScientificPublishingHouseTranslationeditedbywww.acta.com.ua«Ahttp://www.acta.com.uawww.acta.com.ua/en/MarynaB.KhorolskaI.D.Ch

7、ueshovIntroductiontotheTheoryofInfinite-DimensionalDissipativeSystemsACTA2002UDC5172000MathematicsSubjectClassification:primary37L05;secondary37L30,37L25.Thisbookprovidesanexhaustiveintroductiontothescopeofmainideasandmethodsofthetheoryofinfinite-dimen-sional

8、dissipativedynamicalsystemswhichhasbeenrapidlydevelopinginrecentyears.Intheexamplessystemsgenera-tedbynonlinearpartialdifferentialequationsarisinginthedifferentproblemsofmodernmechanicsof