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2010 Existence of Square-Mean Almost Periodic Solutions to Some Stochastic Hyperbolic Differential Equations with Infinite Delay
Paul H. Bezandry, Toka Diagana
Commun. Math. Anal. 8(2): 103-124 (2010).

Abstract

In this paper, we make extensive use of the well-known Krasnoselskii fixed point theorem to obtain the existence of square-mean almost periodic solutions to some classes of hyperbolic stochastic evolution equations with infinite delay. Next, the existence of square-mean almost periodic solutions to not only the heat equation but also to a boundary value problem with infinite delay arising in control systems are studied.

Citation

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Paul H. Bezandry. Toka Diagana. "Existence of Square-Mean Almost Periodic Solutions to Some Stochastic Hyperbolic Differential Equations with Infinite Delay." Commun. Math. Anal. 8 (2) 103 - 124, 2010.

Information

Published: 2010
First available in Project Euclid: 21 April 2010

zbMATH: 1197.34161
MathSciNet: MR2576914

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Rights: Copyright © 2010 Mathematical Research Publishers

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Vol.8 • No. 2 • 2010
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