Absolute stability of a stochastic integro-differential system

Prakasa Rao, B. L. S. (1976) Absolute stability of a stochastic integro-differential system Journal of Mathematical Analysis and Applications, 54 (3). 666-673 . ISSN 0022-247X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002224...

Related URL: http://dx.doi.org/10.1016/0022-247X(76)90185-2

Abstract

A stochastic integro-differential system (*) x˙(t. ω) = A(ω) X(t. ω) + ∝0t B(t - s. ω) ds + b(ω) Φ(σ(t. ω)) subject to σ(t. ω) = (c(ω), X(t. ω)).t ≥ 0 is considered where the integrals are interpreted as Bochner integrals. Existence and absolute stability of random solutions of (*) are studied.

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