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Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes

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Abstract

We consider an evolutionary system switched by a semi-Markov process. For this system, we obtain an inhomogeneous diffusion approximation results where the initial process is compensated by the averaging function in the average approximation scheme.

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Published in Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 9, pp. 1253–1260, September, 2005.

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Korolyuk, V.S., Limnios, N. Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes. Ukr Math J 57, 1466–1476 (2005). https://doi.org/10.1007/s11253-006-0007-7

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  • DOI: https://doi.org/10.1007/s11253-006-0007-7

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