Square-mean almost automorphic solutions to some stochastic evolution equations I: Autonomous case

Autor:	Bai-feng Liu, Yu-liang Han, Xi-liang Li
Rok vydání:	2015
Předmět:	Class (set theory) Pure mathematics Applied Mathematics Mathematical analysis Hilbert space Square (algebra) Separable space Stochastic partial differential equation symbols.namesake Stochastic differential equation Exponential stability symbols Uniqueness Mathematics
Zdroj:	Acta Mathematicae Applicatae Sinica, English Series. 31:577-590
ISSN:	1618-3932 0168-9673
Popis:	This paper concerns the square-mean almost automorphic solutions to a class of abstract semilinear functional integro-differential stochastic evolution equations in real separable Hilbert spaces. Under some suitable assumptions, the existence, uniqueness and asymptotic stability of the square-mean almost automorphic mild solution to some stochastic differential equations are established. As an application, we analyze the almost automorphic mild solution to some stochastic partial functional differential equation which turns out to be in good agreement with our abstract results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::43878358b3921782e3a917688c65ae54 https://doi.org/10.1007/s10255-015-0487-z Zobrazit plný text záznamu Full text from SpringerLink