05598nam 2200565 a 450 991096589840332120251116181923.01-62081-784-5(CKB)2550000001044062(EBL)3022054(SSID)ssj0000860253(PQKBManifestationID)12384583(PQKBTitleCode)TC0000860253(PQKBWorkID)10901944(PQKB)11421890(MiAaPQ)EBC3022054(Au-PeEL)EBL3022054(CaPaEBR)ebr10686395(OCoLC)923666836(BIP)13621032(EXLCZ)99255000000104406220110811d2012 uy 0engur|n|---|||||txtccrFocus on evolution equations /Gaston M. N'Guerekata, editor1st ed.New York Nova Science Publishersc20121 online resource (222 p.)Mathematics research developmentsDescription based upon print version of record.1-60021-342-1 Includes bibliographical references and index.Intro -- FOCUS ON EVOLUTION EQUATIONS -- FOCUS ON EVOLUTION EQUATIONS -- LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA -- CONTENTS -- PREFACE -- Chapter1NONLINEARDEGENERATEPARABOLICEQUATIONSONTHEHEISENBERGGROUP -- Abstract -- 1.Introduction -- 1.1.Motivationandapproaches -- 2.TheFiltrationEquation(0&lt -- m&lt -- 1) -- 3.TheSubellipticp-Laplacian -- References -- Chapter2REMARKSONTHESCHR¨ODINGEREQUATION -- Abstract -- 1.Introduction -- 2.BackgroundfortheSchr¨odingerEquation -- 3.DiffusionandFractals -- 3.1.ScaleRelativity -- 4.RemarksonaFractalSpacetime -- 4.1.CommentsonCantorSets -- 5.HydrodynamicsandtheFractalSchr¨odingerEquation -- 6.Recapitulation -- 7.Conclusions -- References -- Chapter3EXISTENCEOFp-ALMOSTAUTOMORPHICMILDSOLUTIONTOSOMEABSTRACTDIFFERENTIALEQUATIONS -- Abstract -- 1.Introduction -- 2.p-AlmostAutomorphicFunctions -- 3.FurtherCommentsonp-AlmostAutomorphicFunctions -- 4.Existenceofp-almostAutomorphicMildSolutions -- References -- Chapter4LYAPUNOVFUNCTIONFORABIDIMENSIONALSYSTEM-MODELINTHEGLUCOSEHOMEOSTASYANDCLINICALINTERPRETATIONS -- Abstract -- 1.Introduction -- 2.LocalStabilityoftheEquilibriumPoints -- 3.MainResult -- 4.TheAttractionBasinandtheNonexistenceofthePeriodicSolutions -- 5.ComparisonwithOtherModels -- References -- Chapter5INVARIANTMANIFOLDSOFFULLYNONLINEAREVOLUTIONEQUATIONS -- Abstract -- 1.IntroductionandPreliminaries -- 2.MainResults -- 2.1.TheCaseofExponetialDichotomy -- 2.2.TheCaseofExponetialTrichotomy -- 3.Applications -- References -- Chapter6GEVREYREGULARITYFORSOMEP.D.EGOVERNINGTHEMOTIONOFAMICROPOLARFLUIDINTHETHREEDIMENSIONALCASE -- Abstract -- 1.Introduction -- 2.NotationsandDefinitions -- 3.TheGevreyclassD -- 4.EstimationoftheTermS0(U)intheGevreySpaces -- References -- Chapter7EXISTENCEOFGENERALIZEDSOLUTIONSFORORDINARYDIFFERENTIALEQUATIONSINBANACHSPACES -- Abstract -- 1.Introduction -- 2.Strategy.3.ProofofTheorem2 -- 4.ProofofTheorem2(continued) -- 5.FurtherRemarks -- References -- Chapter8ONTHEEXISTENCEOFALMOSTPERIODIC,PERIODICANDQUASI-PERIODICSOLUTIONSOFNEUTRALDIFFERENTIALEQUATIONSWITHPIECEWISECONSTANTARGUMENTS -- Abstract -- 1.Introduction -- 2.Preliminaries -- 2.1.Notation -- 2.2.SpectralTheoryofFunctions -- 2.3.AlmostPeriodicFunctionsandSequences -- 3.MainResults -- 3.1.TheCharacteristicEquation -- 3.2.CriterionofAlmostPeriodicityofaBoundedSolution -- 3.3.CriterionofPeriodicityofaBoundedSolution -- 3.4.MasseraCriterionfortheExistenceofaPeriodicSolution -- 3.5.CriterionforQuasiPeriodicityofaBoundedSolution -- Acknowledgments -- References -- Chapter9ONTHEASYMPTOTICEQUIVALENCEOFSOLUTIONSOFTHELINEAREVOLUTIONEQUATIONS -- Abstract -- 1.Introduction -- 2.TheAsymptoticEquivalenceofStronglyContinuousEvolutionaryProcesses -- 3.TheAsymptoticEquivalenceofLinearDifferentialEquationsinHilbertSpace -- References -- Chapter10ONSUPERPOSITIONOFALMOSTPERIODICFUNCTIONS -- Abstract -- 1.Introduction -- 2.Preliminaries -- 3.MainResults -- Acknowledgment -- References -- Chapter11RELATIVESTABILITYINCONCAVELAGRANGIANSYSTEMS -- Abstract -- Introduction -- 1.AnAuxiliaryFunction -- 2.ALocalStudy -- 3.AttractivityandOptimality -- References -- Chapter12QUASISEMIGROUPSANDEVOLUTIONEQUATIONS -- Abstract -- 1.Introduction -- 2.QuasisemigroupofOperators -- References -- Chapter13CONTINUATIONANDMAXIMALREGULARITYOFFRACTIONAL-ORDEREVOLUTIONARYINTEGRALEQUATION -- Abstract -- 1.Introduction -- 2.Preliminaries -- 3.ExistenceofSolution -- 4.ContinuationTheorem -- 5.MaximalRegularity -- 6.Examples -- References -- INDEX.This book presents high-quality research on the theory and methods of linear or nonlinear evolution equations as well as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. This book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.Mathematics research developments series.Evolution equationsEvolution equations.515/.353N'Guerekata Gaston M.1953-911958MiAaPQMiAaPQMiAaPQBOOK9910965898403321Focus on evolution equations4471670UNINA