Existence and Uniqueness of Solution of Stochastic Dynamic Systems with Markov Switching and Concentration Points

In this article the problem of existence and uniqueness of solutions of stochastic differential equations with jumps and concentration points are solved. The theoretical results are illustrated by one example.

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Main Authors: Taras Lukashiv, Igor Malyk
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2017/7958398
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author Taras Lukashiv
Igor Malyk
author_facet Taras Lukashiv
Igor Malyk
author_sort Taras Lukashiv
collection DOAJ
description In this article the problem of existence and uniqueness of solutions of stochastic differential equations with jumps and concentration points are solved. The theoretical results are illustrated by one example.
format Article
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institution Kabale University
issn 1687-9643
1687-9651
language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series International Journal of Differential Equations
spelling doaj-art-b4d8a9439e504f9ab60cbe9892f6778a2025-08-20T03:39:22ZengWileyInternational Journal of Differential Equations1687-96431687-96512017-01-01201710.1155/2017/79583987958398Existence and Uniqueness of Solution of Stochastic Dynamic Systems with Markov Switching and Concentration PointsTaras Lukashiv0Igor Malyk1Department of the System Analysis and Insurance and Financial Mathematics, Yuriy Fedkovych Chernivtsi National University, 28 Unversitetska St., Chernivtsi 58012, UkraineDepartment of the System Analysis and Insurance and Financial Mathematics, Yuriy Fedkovych Chernivtsi National University, 28 Unversitetska St., Chernivtsi 58012, UkraineIn this article the problem of existence and uniqueness of solutions of stochastic differential equations with jumps and concentration points are solved. The theoretical results are illustrated by one example.http://dx.doi.org/10.1155/2017/7958398
spellingShingle Taras Lukashiv
Igor Malyk
Existence and Uniqueness of Solution of Stochastic Dynamic Systems with Markov Switching and Concentration Points
International Journal of Differential Equations
title Existence and Uniqueness of Solution of Stochastic Dynamic Systems with Markov Switching and Concentration Points
title_full Existence and Uniqueness of Solution of Stochastic Dynamic Systems with Markov Switching and Concentration Points
title_fullStr Existence and Uniqueness of Solution of Stochastic Dynamic Systems with Markov Switching and Concentration Points
title_full_unstemmed Existence and Uniqueness of Solution of Stochastic Dynamic Systems with Markov Switching and Concentration Points
title_short Existence and Uniqueness of Solution of Stochastic Dynamic Systems with Markov Switching and Concentration Points
title_sort existence and uniqueness of solution of stochastic dynamic systems with markov switching and concentration points
url http://dx.doi.org/10.1155/2017/7958398
work_keys_str_mv AT taraslukashiv existenceanduniquenessofsolutionofstochasticdynamicsystemswithmarkovswitchingandconcentrationpoints
AT igormalyk existenceanduniquenessofsolutionofstochasticdynamicsystemswithmarkovswitchingandconcentrationpoints