Approximate solutions of stochastic differential delay equations with Markovian switching

Xiaoyue Li, Xuerong Mao, Yi Shen

Research output: Contribution to journal › Article

7 Citations (Scopus)

Abstract

Our main aim is to develop the existence theory for the solutions to stochastic differential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler-Maruyama approximate solutions under the local Lipschitz condition. As an application, our results are used to discuss a stochastic delay population system with Markovian switching.
LanguageEnglish
Pages195-207
Number of pages12
JournalJournal of Difference Equations and Applications
Volume16
Issue number2-3
DOIs
Publication statusPublished - 24 Feb 2010

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Stochastic Differential Delay Equations
Markovian Switching
Approximate Solution
Existence Theory
Convergence Theory
Lipschitz condition
Euler

Keywords

  • maruyama method
  • generalized it^o's formula
  • brownian motion
  • markov chain

Cite this

Li, Xiaoyue ; Mao, Xuerong ; Shen, Yi. / Approximate solutions of stochastic differential delay equations with Markovian switching. In: Journal of Difference Equations and Applications. 2010 ; Vol. 16, No. 2-3. pp. 195-207.
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Li, X, Mao, X & Shen, Y 2010, 'Approximate solutions of stochastic differential delay equations with Markovian switching' Journal of Difference Equations and Applications, vol. 16, no. 2-3, pp. 195-207. https://doi.org/10.1080/10236190802695456

Approximate solutions of stochastic differential delay equations with Markovian switching. / Li, Xiaoyue; Mao, Xuerong; Shen, Yi.

In: Journal of Difference Equations and Applications, Vol. 16, No. 2-3, 24.02.2010, p. 195-207.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Approximate solutions of stochastic differential delay equations with Markovian switching

AU - Li, Xiaoyue

AU - Mao, Xuerong

AU - Shen, Yi

PY - 2010/2/24

Y1 - 2010/2/24

N2 - Our main aim is to develop the existence theory for the solutions to stochastic differential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler-Maruyama approximate solutions under the local Lipschitz condition. As an application, our results are used to discuss a stochastic delay population system with Markovian switching.

AB - Our main aim is to develop the existence theory for the solutions to stochastic differential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler-Maruyama approximate solutions under the local Lipschitz condition. As an application, our results are used to discuss a stochastic delay population system with Markovian switching.

KW - maruyama method

KW - generalized it^o's formula

KW - brownian motion

KW - markov chain

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JO - Journal of Difference Equations and Applications

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JF - Journal of Difference Equations and Applications

SN - 1023-6198

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Li X, Mao X, Shen Y. Approximate solutions of stochastic differential delay equations with Markovian switching. Journal of Difference Equations and Applications. 2010 Feb 24;16(2-3):195-207. https://doi.org/10.1080/10236190802695456

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