资源描述：
《solutions for second order impulsive integro- differential equation on unbounded domains in banach spaces》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、SOLUTIONSFORSECONDORDERIMPULSIVEINTEGRO-DIFFERENTIALEQUATIONONUNBOUNDEDDOMAINSINBANACHSPACESAppliedMathematicsandMechanics(EnglishEdition),2006,2T(6):721729@EditorialCommitteeofApp1.Math.Mech.,ISSN0253-4827SoLUTIoNSFoRSECoNDoRDERIMPULSIVEINTEGR0一DIFFERENTIALEQUATIoN
2、oNUNBoUNDEDDoMAINSINBANACHSPACESCHENFang-qi(陈芳启),TIANRui—lan(田瑞兰),CHENYu—shu(陈予恕)(1.SchoolofScience,NanjingUniversityofAeronauticsandAustronautics.Nanjing210016,P.R.China;2.DepartmentofMechanics,TianjinUniversity,Tianjin300072,P.R.China)(ContributedbyCHENYu-shu)Abst
3、ract:Underlooseconditions,theexistenceofsolutionstoinitialvalueproblemarestudiedforsecondorderimpulsiveintegro-differentialequationwithinfinitemomentsofimpulseeffectonthepositivehalfrealaxisinBanachspaces.Bytheuseofrecurrencemethod,Toneliisequenceandthelocallyconvex
4、topology,thenewexistencetheoremsareachieved,whichimprovetherelatedresultsobtainedbyGnoDa-jan.Keywords:impulsiveintegro-differentialequation;Toneliisequence;locallyconvextopology;measureofnoncompactnessChineseLibraryClassification:O175.62000MathematicsSubjectClassifi
5、cation:45N05;47H67DigitalObjectIdentifier(DOI):10.1007/s10483-006-0602—1IntroductionConsiderthesecondorderimpulsiveequationinBanachspaceEVt∈t≠tk(k:1,2,3,…),(k=1,2,3,?一),(k=1,2,3,…),(1)where+=[0,+∞),J=+,0<tl<???<tk<…,suchthatt__++o.(k_+..),Xo,X∈E,f∈C(J×E×
6、E,E),Ik,∈C(E,E)(=1,2,3,…),(聊,s))dsjK∈C(D,Ⅱ+),D=<(￡,s)∈J×J:ts,,tK=sup/K(t,s)ds<+..,t∈JJ0}ReceivedMar.15,2005;RevisedFeb.28,2006ProjectsupportedbytheNationalNaturalScienceFoundationofChina(Nos.10572057and102510011andtheScienceFoundationofNanjingUniversityofAeron
7、auticsandAustronauticsCorrespondingauthorCHENFang-qi,Professor,Doctor,E-mail:cfqyyf@eyou,comn,J.r,=如==一,:△△722CHENFang-qi,TIANRui-lanandCHENYu—shuAxIt:tk=@)一@),where@)and@)representtheright—handlimitandleft—handlimitofx(t)att=tk,respectively.Axlt=tkhasasimilarmeanin
8、gfor).GnoDa-janinvestigatedtheminimalnonnegativesolutionoftheIVPforsecondordernonlinearimpulsiveintegro-differentialequationofVolterratype
