某些泛函微分方程的正周期解的存在性.pdf

1、湖南師范大學(xué)碩士學(xué)位論文某些泛函微分方程的正周期解的存在性姓名：廖加武申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：羅治國20081001某些泛函徽分方程的正周期解的存在性IIIABSTRACTInthispaper，westudytheperiodici鑼ofsolutio璐of80me^InctionaldiHlerentialequationshldhapter柵o，Byusingthecoincidencede_gr∞theory，

2、westlldythedelayLotkVoIterrapredatorpreysystem謝thBeddington_typehlnctionalSomesui伍cientconditioll8thatguranteetheexistenceofpositivepenodicsolutionsofthes弘t鋤areobtainedByllsingthemethod0fcoincidencedegree，inch印terthree，w

3、e8tudytheperiodicity0facla船ofmath鋤aticalmodelswithcallIlibali鋤arisingbioeconomic8：J吐(t)=理l(t)耽(t)一，y(t)zI(t)一嘞(t)z2(t一丁)一忱(t)zl(t)z2(t)F(t)，【《(t)=Q2@)a您@一丁)一p@)z；(t)ul(￡)zl@)z2(t)一日@)Byllsingcomparisontheor鋤觚dthemonotoni

4、cityinchapt盱f01”，Westudyanonalltonomollspredator_preymodel誦thhlnctionalrespollseandimpulses：￡≠如，t≠t七，“=七t七∈Ⅳ，tk=kT，k∈NSomesu幣cientcondition8whichguaranteethepermanenceand娜ptoticbeha訪orofthiss”t咖盯eobtained搋咖～]；囂吼卅～一一一～～啦”