LEADER 05598nam 2200565 a 450 001 9910965898403321 005 20251116181923.0 010 $a1-62081-784-5 035 $a(CKB)2550000001044062 035 $a(EBL)3022054 035 $a(SSID)ssj0000860253 035 $a(PQKBManifestationID)12384583 035 $a(PQKBTitleCode)TC0000860253 035 $a(PQKBWorkID)10901944 035 $a(PQKB)11421890 035 $a(MiAaPQ)EBC3022054 035 $a(Au-PeEL)EBL3022054 035 $a(CaPaEBR)ebr10686395 035 $a(OCoLC)923666836 035 $a(BIP)13621032 035 $a(EXLCZ)992550000001044062 100 $a20110811d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aFocus on evolution equations /$fGaston M. N'Guerekata, editor 205 $a1st ed. 210 $aNew York $cNova Science Publishers$dc2012 215 $a1 online resource (222 p.) 225 1 $aMathematics research developments 300 $aDescription based upon print version of record. 311 08$a1-60021-342-1 320 $aIncludes bibliographical references and index. 327 $aIntro -- 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< -- m< -- 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. 327 $a3.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. 330 $aThis book presents high-quality research on the theory and methods of linear or nonlinear evolution equations as well as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. This book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations. 410 0$aMathematics research developments series. 606 $aEvolution equations 615 0$aEvolution equations. 676 $a515/.353 701 $aN'Guerekata$b Gaston M.$f1953-$0911958 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910965898403321 996 $aFocus on evolution equations$94471670 997 $aUNINA