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1
Content available remote

Asymptotic Properties of Stochastic Semilinear Equations by the Method of Lower Measures

100%
Maslowski B., Simão I.
Colloquium Mathematicum
|
1997
|
tom 72
|
nr 1
147-171
2
Content available remote

Construction of non-constant and ergodic cocycles

100%
Nerurkar M.
Colloquium Mathematicum
|
2000
|
tom 84/85
|
nr 2
395-419
EN
We construct continuous G-valued cocycles that are not cohomologous to any compact constant via a measurable transfer function, provided the underlying dynamical system is rigid and the range group G satisfies a certain general condition. For more general ergodic aperiodic systems, we also show that the set of continuous ergodic cocycles is residual in the class of all continuous cocycles provided the range group G is a compact connected Lie group. The first construction is based on the "closure of coboundaries technique", whereas the second result is proved by developing in addition a new approximation technique.
3
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Existence, uniqueness and ergodicity for the stochastic quantization equation

88%
Gątarek D., Gołdys B.
Studia Mathematica
|
1996
|
tom 119
|
nr 2
179-193
EN
Existence, uniqueness and ergodicity of weak solutions to the equation of stochastic quantization in finite volume is obtained as a simple consequence of the Girsanov theorem.
4
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Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations

63%
Akdad A.-N., Ezzinbi K., Souden L.
Nonautonomous Dynamical Systems
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2015
|
tom 2
|
nr 1
EN
In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.
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