Stability of stochastic partial differential equations with infinite delays

By Jiaowan Luo. 2008

47 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/4e1a62980ea6253fa01aa68975356fab0bb1bbbb