非自治無窮維動力系統(tǒng)的拉回吸引子存在性的研究.pdf

1、蘭州大學(xué)博士學(xué)位論文非自治無窮維動力系統(tǒng)的拉回吸引子存在性的研究姓名：汪永海申請學(xué)位級別：博士專業(yè)：數(shù)學(xué)基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：鐘承奎20080501AbstractInthisdoctoraldissertationwemainlyconsidertheexistenceOtpullbackattractorsofnonautonomousinfinitedimensionaldynamicalsystemsWepresenttwometh

2、odstoverifythepropertyofpullback勿asymptoticeompactnessofcocyclesgeneratedbynonautonomousdynamicalsystems，whichisanessentialconditiontoshowtheexistenceofpullbackattractorsWealsoapplyollrmethodstoconcretePDEs，andgetaseries

3、ofnewandmeaningfulresultsThisthesisconsistsoffivechaptersInChapterone，thebackgroundandmajorresultsonthetheoryofdynamicalsystems，themainresultsofthetheoryofpullbackattractorsandthisdoctoraldissertationareintroducedInChapt

4、ertwo，somepreliminaryresultsanddefinitionsthatwewillusedinthisthesisarepresentedInChapterthreecombiningtheconceptofclosedcocyclesandnorm—to—weakcocycles，weprovesomeabstractresultsastotheexistenceofpullbackattractorsofnon

5、autonomousdynamicalsystemsWe舀vetwodifferent(sufficient)conditionsforverifyingthepullback9asymptoticcompactnessWealsoconsidertheexistenceofpullbackattractorsinbispacesInChapterfour，usingthegeneralresultsinChapterthree，wep

6、rovetheexistenceof(L2(Q)，明(Q))pullbackattractorsfornonautonomousreaction—diffusionequationsut一△銘，(召)=夕(z，t)inboundeddomains，and(L2(Ⅱ乏n)，擴(kuò)(時(shí)))pullbackattractorsinunboundeddomainswithnonlinearitieshavingpolynomialgrowthofa