一類(lèi)非線(xiàn)性泛函微分方程的非平凡周期解.pdf

1、華僑大學(xué)碩士學(xué)位論文一類(lèi)非線(xiàn)性泛函微分方程的非平凡周期解姓名：佘志煒申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：王全義200905012碩士學(xué)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