The paper presents some concepts of nonuniform stability in mean square for stochastic skew-evolution semiflow in Hilbert spaces. A principal motivation for weakling the notion of uniform exponential behavior is that from the point of view of ergodic theory, almost all linear variational equations in a finite dimensional space, have a nonuniform exponential behavior. The obtained results are generalizations of some well-known theorems about nonuniform exponential behaviors of variational systems in the deterministic case.
Nonuniform asymptotical behaviors of stochastic skew-evolution semiflows in Hilbert spaces
9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012 ; 2012 ; Vienna, Austria
AIP Conference Proceedings ; 1493 , 1 ; 988-993
2012-11-06
6 pages
Conference paper
Electronic Resource
English
Nonuniform asymptotical behaviors of stochastic skew-evolution semiflows in Hilbert spaces
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