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On perturbed stochastic discrete systems

Published online by Cambridge University Press:  17 April 2009

B.G. Pachpatte
B.G. Pachpatte
Affiliation:
Department of Mathematics, Deogiri College, Aurangabad (Maharashtra), India.
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Abstract

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The object of this paper is to study a stochastic discrete system, including an operator T, of the form

as a perturbation of the linear stochastic discrete system

where ω ∈ Ω, the supporting set of probability measure space (Ω, A, P) and n ∈ N, the set of nonnegative integers. We are concerned vith the existence, uniqueness, boundedness, and asymptotic behavior of random solutions of the above equation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 3 , December 1974 , pp. 385 - 393
Copyright
Copyright © Australian Mathematical Society 1974

References

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