Focus on evolution equations / / Gaston M. N'Guerekata, editor

• Record Nr.: UNINA9910965898403321
• Pubbl/distr/stampa: New York, : Nova Science Publishers, c2012
• ISBN: 1-62081-784-5
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (222 p.)
• Collana: Mathematics research developments
• Altri autori (Persone): N'GuerekataGaston M. <1953->
• Disciplina: 515/.353
• Soggetti: Evolution equations
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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 -- Chapter5INVARIANTMANIFOLDSOFFULLYNONLINEAREVOLUTIONEQUATI; ONS -- 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.
• Sommario/riassunto: 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.