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

• Published in: Український математичний журнал
• Date: 2005
• ISSN: 1027-3190
• Main Authors: Korolyuk, V.S., Limnios, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165832
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes / V.S. Korolyu, N. Limnios // Український математичний журнал. — 2005. — Т. 57, № 9. — С. 1253–1260. — Бібліогр.: 8 назв. — англ.

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. Для систем, що перемикаються иапівмарковськими про...