Stochastic Differential Equations with Multi-Markovian Switching

This paper is concerned with stochastic differential equations (SDEs) with multi-Markovian switching. The existence and uniqueness of solution are investigated, and the pth moment of the solution is estimated. The classical theory of SDEs with single Markovian switching is extended.

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Main Authors: Meng Liu, Ke Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/357869
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author Meng Liu
Ke Wang
author_facet Meng Liu
Ke Wang
author_sort Meng Liu
collection DOAJ
description This paper is concerned with stochastic differential equations (SDEs) with multi-Markovian switching. The existence and uniqueness of solution are investigated, and the pth moment of the solution is estimated. The classical theory of SDEs with single Markovian switching is extended.
format Article
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institution OA Journals
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-c6992299ccd2434d99eb5d90b8539a8d2025-08-20T02:19:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/357869357869Stochastic Differential Equations with Multi-Markovian SwitchingMeng Liu0Ke Wang1School of Mathematical Science, Huaiyin Normal University, Huai'an 223300, ChinaDepartment of Mathematics, Harbin Institute of Technology, Weihai 264209, ChinaThis paper is concerned with stochastic differential equations (SDEs) with multi-Markovian switching. The existence and uniqueness of solution are investigated, and the pth moment of the solution is estimated. The classical theory of SDEs with single Markovian switching is extended.http://dx.doi.org/10.1155/2013/357869
spellingShingle Meng Liu
Ke Wang
Stochastic Differential Equations with Multi-Markovian Switching
Journal of Applied Mathematics
title Stochastic Differential Equations with Multi-Markovian Switching
title_full Stochastic Differential Equations with Multi-Markovian Switching
title_fullStr Stochastic Differential Equations with Multi-Markovian Switching
title_full_unstemmed Stochastic Differential Equations with Multi-Markovian Switching
title_short Stochastic Differential Equations with Multi-Markovian Switching
title_sort stochastic differential equations with multi markovian switching
url http://dx.doi.org/10.1155/2013/357869
work_keys_str_mv AT mengliu stochasticdifferentialequationswithmultimarkovianswitching
AT kewang stochasticdifferentialequationswithmultimarkovianswitching