一類非線性泛函微分方程的非平凡周期解.pdf

1、華僑大學碩士學位論文一類非線性泛函微分方程的非平凡周期解姓名：佘志煒申請學位級別：碩士專業(yè)：基礎數(shù)學指導教師：王全義200905012碩士學位論文AbstractInthispaperweresearchtheproblemonexistenceofnontrivialperiodicsolutionsfaclassofnonlinearfunctionaldifferentialequations.FirstinChapter2wec

2、onsidertheproblemontheexistenceofnontrivialperiodicsolutionsfthefunctionaldifferentialequationswithadelay)))((()())(()(ttxtftxtxtatxτ??=(1))))((()())(()(ttxtftxtxtatxτ??=.(2)Byemployingafixedpointtheeminconessomeanalysis

3、techniquesweobtainsomesufficientconditionswhichguaranteetheexistenceofnontrivialperiodicsolutionsfEq.(1)(2).Theobtainedresultsextendimprovetheresultsofthepaper[9].InChapter3weconsidertheproblemontheexistenceofnontrivialp

4、eriodicsolutionsfthefunctionaldifferentialequationswithKdelays12()(())()((())(())(()))kxtatxtxtftxttxttxttτττ=????L(3)12()(())()((())(())(()))kxtatxtxtftxttxttxttτττ=????L.(4)Byemployingafixedpointtheeminconessomeanalysi

5、stechniquesweobtainsomesufficientconditionswhichguaranteetheexistenceofnontrivialperiodicsolutionsfEq.(3)(4).InadditioninChapter2Chapter3twoexamplesaregiventoillustrateourmainresults.Keywds:Functionaldifferentialequation