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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
Main Authors: Korolyuk, V.S., Limnios, N.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Series:Український математичний журнал
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165832
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spelling irk-123456789-1658322020-02-18T01:27:59Z Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes Korolyuk, V.S. Limnios, N. Статті 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 процесами, одержано результати про неоднорідну дифузійну апроксимацію, де вихідний процес компенсується усередненою функцією в апроксимаційній схемі усереднення. 2005 Article 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. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/165832 519.21 en Український математичний журнал Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Статті
Статті
spellingShingle Статті
Статті
Korolyuk, V.S.
Limnios, N.
Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes
Український математичний журнал
description 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.
format Article
author Korolyuk, V.S.
Limnios, N.
author_facet Korolyuk, V.S.
Limnios, N.
author_sort Korolyuk, V.S.
title Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes
title_short Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes
title_full Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes
title_fullStr Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes
title_full_unstemmed Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes
title_sort diffusion approximation with equilibrium for evolutionary systems switched by semi-markov processes
publisher Інститут математики НАН України
publishDate 2005
topic_facet Статті
url http://dspace.nbuv.gov.ua/handle/123456789/165832
citation_txt 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.
series Український математичний журнал
work_keys_str_mv AT korolyukvs diffusionapproximationwithequilibriumforevolutionarysystemsswitchedbysemimarkovprocesses
AT limniosn diffusionapproximationwithequilibriumforevolutionarysystemsswitchedbysemimarkovprocesses
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