Existence of invariant measures of stochastic systems with delay in the highest order partial derivatives
Copyright policy )Existence of invariant measures of stochastic systems with delay in the highest order partial derivatives
In this note, we shall consider the existence of invariant measures for a class of infinite dimensional stochastic functional differential equations with delay whose driving semigroup is eventually norm continuous. The results obtained are applied to stochastic heat equations with distributed delays which appear in such terms having the highest order partial derivatives. In the systems, the associated driving semigroups are generally non eventually compact.
- University of Liverpool United Kingdom
- THE UNIVERSITY OF LIVERPOOL
- Department of Mathematical Sciences Russian Federation
invariant measure, stochastic functional differential equation, Stochastic integrals, Probability (math.PR), Gaussian processes, distributed delay, Stochastic partial differential equations (aspects of stochastic analysis), FOS: Mathematics, eventually norm continuous, Mathematics - Probability
invariant measure, stochastic functional differential equation, Stochastic integrals, Probability (math.PR), Gaussian processes, distributed delay, Stochastic partial differential equations (aspects of stochastic analysis), FOS: Mathematics, eventually norm continuous, Mathematics - Probability
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