几类随机发展方程S-渐近周期问题研究.pdfVIP

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I

II

Studyon肀?asymptoticperiodicproblemsforsome

stochasticevolutionequations

Abstract

Stochasticevolutionequationtheoryisanimportantbranchofstochasticdifferential

equations.Sincemanymodelswithnoiseorrandominterferenceinapplieddisciplines

canbetransformedintoabstractstochasticevolutionequations,stochasticevolutione-

quationshavebecomeoneoftheimportantresearchtopics.Inparticular,thestudy

of肀?asymptoticperiodicproblemsofstochasticevolutionequationshasattractedmany

scholars鈥attention.Inthispaper,byusingoperatorsemigrouptheory,stochasticanalysis

theory,inequalityandthemethodsandtoolsofnonlinearfunctionalanalysis,westudy

theexistence,uniquenessandglobalasymptoticbehavio