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1、ImpulsiveDifferentialEquationsandInclusionsM.BENCHOHRA,J.HENDERSON,andS.NTOUYASHindawiPublishingCorporationhttp://www.hindawi.comImpulsiveDifferentialEquationsandInclusionsContemporaryMathematicsandItsApplications,Volume2ImpulsiveDifferentialEquationsandInclusionsM.Benchohra,J.Henderson,andS
2、.NtouyasHindawiPublishingCorporationhttp://www.hindawi.comContemporaryMathematicsandItsApplicationsSeriesEditors:RaviP.AgarwalandDonalOReganHindawiPublishingCorporation410ParkAvenue,15thFloor,#287pmb,NewYork,NY10022,USANasrCityFreeZone,Cairo11816,EgyptFax:+1-866-HINDAWI(USAToll-Free)©2006Hin
3、dawiPublishingCorporationAllrightsreserved.Nopartofthematerialprotectedbythiscopyrightnoticemaybereproducedorutilizedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recording,oranyinformationstorageandretrievalsystem,withoutwrittenpermissionfromthepublisher.ISBN977-5945-50
4、-XDedicationWededicatethisbooktoourfamilymemberswhocompleteus.Inparticular,M.Ben-chohrasdedicationistohiswife,Kheira,andhischildren,Mohamed,Maroua,andAbdelillah;J.Hendersondedicatestohiswife,Darlene,andhisdescendants,Kathy,Dirk,Katie,David,andJanaBeth;andS.Ntouyasmakeshisdedicationtohiswife,
5、Ioanna,andhisdaughter,Myrto.ContentsPrefacexi1.Preliminaries11.1.Definitionsandresultsformultivaluedanalysis11.2.Fixedpointtheorems41.3.Semigroups71.4.Someadditionallemmasandnotions92.Impulsiveordinarydifferentialequations&inclusions112.1.Introduction112.2.Impulsiveordinarydifferentialequations
6、122.3.Impulsiveordinarydifferentialinclusions242.4.Ordinarydampeddifferentialinclusions492.5.Notesandremarks623.Impulsivefunctionaldifferentialequations&inclusions633.1.Introduction633.2.Impulsivefunctionaldifferentialequations633.3.Impulsiveneutraldifferentialequations743.4.Impulsivefunctionaldi
7、fferentialinclusions803.5.ImpulsiveneutralfunctionalDIs953.6.ImpulsivesemilinearfunctionalDIs1073.7.Notesandremarks1184.Impulsivedifferentialinclusionswithnonlocalconditions1194.1.Introduction1194.2.Nonlocalimpulsivesemilineardifferentialinclusions119
