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On Almost Periodic Stochastic Difference Equations

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Advances in Interdisciplinary Mathematical Research

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 37))

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Abstract

In this paper almost periodic random sequence in mean is defined and investigated. It is then applied to study the existence and uniqueness of the almost periodic solution of a semi-linear system of stochastic difference equations of the form:

$$\displaystyle\begin{array}{rcl} X(n + 1) = A(n)X(n) + f(n,X(n)),\,n \in \mathbb{Z}_{+}\,,& & \\ \end{array}$$

by means of exponential dichotomy.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Howard University, Washington, DC, 20059, USA

    Paul H. Bezandry

Authors
  1. Paul H. Bezandry
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Correspondence to Paul H. Bezandry .

Editor information

Editors and Affiliations

  1. , Dept of Mathematics & Computer Sciences, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Bourama Toni

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Bezandry, P.H. (2013). On Almost Periodic Stochastic Difference Equations. In: Toni, B. (eds) Advances in Interdisciplinary Mathematical Research. Springer Proceedings in Mathematics & Statistics, vol 37. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6345-0_13

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