论文信息 - Stability of stochastic partial differential equations with infinite delays

Stability of stochastic partial differential equations with infinite delays

In this paper, we study the existence and the asymptotical stability in p-th moment of mild solutions to stochastic partial differential equations with infinite delays {dx(t)=[Ax(t)+f(t,x(t-@t(t)))]dt+g(t,x(t-@d(t)))dW(t),t>=0,x"0(@?)=@x@?D"F"""0^b([m(0),0],H) where t-@t(t),t-@d(t)->~ with delays @t(t),@d(t)->~ as t->~. Our method for investigating the stability of solutions is based on the fixed point theorem.

Jiaowan Luo | Jiaowan Luo

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