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

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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Bibliographic Details
Date:2005
Main Authors: Korolyuk, V. S., Limnios, N., Королюк, В. С., Лімніос, Н.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2005
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3682
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal