2017
Том 69
№ 6

All Issues

Random attractors for ambiguously solvable systems dissipative with respect to probability

Kapustyan O. V.

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Abstract

We prove a theorem on the existence of a random attractor for a multivalued random dynamical system dissipative with respect to probability. Abstract results are used for the analysis of the qualitative behavior of solutions of a system of ordinary differential equations with continuous right-hand side perturbed by a stationary random process. In terms of the Lyapunov function, for an unperturbed system, we give sufficient conditions for the existence of a random attractor.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 7, pp 1063-1073.

Citation Example: Kapustyan O. V. Random attractors for ambiguously solvable systems dissipative with respect to probability // Ukr. Mat. Zh. - 2004. - 56, № 7. - pp. 892–900.

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