Controllability of stochastic semilinear functional differential equations in Hilbert spaces

Dauer J. P., Mahmudov N.

Journal of Mathematical Analysis and Applications, vol.290, no.2, pp.373-394, 2004 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 290 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1016/j.jmaa.2003.09.069
  • Journal Name: Journal of Mathematical Analysis and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.373-394
  • Keywords: Approximate controllability, Banach fixed point theorem, Exact controllability, Semilinear stochastic functional differential equations
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

In this paper approximate and exact controllability for semilinear stochastic functional differential equations in Hilbert spaces is studied. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Banach fixed point theorem. Applications to stochastic heat equation are given. © 2003 Elsevier Inc. All rights reserved.