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RANDOM ATTRACTOR FOR STOCHASTIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

  • You, Honglian (Department of Mathematics Binzhou University) ;
  • Yuan, Rong (School of Mathematical Sciences Beijing Normal University)
  • Received : 2013.07.03
  • Published : 2014.09.30

Abstract

In this paper we are concerned with a class of stochastic partial functional differential equations with infinite delay. Supposing that the linear part is a Hille-Yosida operator but not necessarily densely defined and employing the integrated semigroup and random dynamics theory, we present some appropriate conditions to guarantee the existence of a random attractor.

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