Electronic Journal of Differential Equations (Sep 2009)

Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations

  • Paul H. Bezandry,
  • Toka Diagana

Journal volume & issue
Vol. 2009, no. 111,
pp. 1 – 14

Abstract

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In this paper we obtain the existence of quadratic-mean almost periodic solutions to some classes of partial hyperbolic stochastic differential equations. The main result of this paper generalizes in a natural fashion some recent results by authors. As an application, we consider the existence of quadratic-mean almost periodic solutions to the stochastic heat equation with divergence terms.

Keywords