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Mean square stability of the solutions of autonomous dynamic diffusion systems with finite aftereffect with regard for random factors

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Abstract

The necessary and sufficient conditions are obtained for the asymptotic mean square stability of strong solutions of autonomous diffusion stochastic functional-differential equations with finite aftereffect and random factors (random functions with different distribution) taken into account.

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Correspondence to V. K. Yasinsky.

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Translated from Kibernetika i Sistemnyi Analiz, No. 3, May–June, 2012, pp. 127–141.

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Yasinsky, V.K., Bodryck, N.P. Mean square stability of the solutions of autonomous dynamic diffusion systems with finite aftereffect with regard for random factors. Cybern Syst Anal 48, 429–440 (2012). https://doi.org/10.1007/s10559-012-9422-y

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