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Volumn 194, Issue 2, 2006, Pages 207-226

Approximate solutions of stochastic differential delay equations with Markovian switching

Author keywords

Brownian motion; Euler Maruyama method; Lipschitz condition; Markov chain generator

Indexed keywords

BROWNIAN MOVEMENT; MARKOV PROCESSES; NUMERICAL METHODS; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 33646534005     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.07.004     Document Type: Article
Times cited : (41)

References (14)
  • 2
    • 33646504791 scopus 로고    scopus 로고
    • D.J. Higham, X. Mao, A.M. Stuart, Strong convergence of numerical for nonlinear stochastic differential equations, Math Research Report, Strathclyde University, 2001.
  • 3
    • 33646531749 scopus 로고    scopus 로고
    • Y. Hu, Semi-implicit Euler-Maruyama scheme for stiff stochastic equations, in: H. Koerezlioglu (Ed.), Stochastic Analysis and Related Topics V: The Silvri Workshop, Progress in Probability, vol. 38, Birkhauser, Boston, 1996, pp. 183-202.
  • 4
    • 0025464943 scopus 로고
    • Controllability, stabilizability and continuous-time Markovian jump linear quadratic control
    • Ji Y., and Chizeck H.J. Controllability, stabilizability and continuous-time Markovian jump linear quadratic control. IEEE Trans. Automat. Control 35 (1990) 777-788
    • (1990) IEEE Trans. Automat. Control , vol.35 , pp. 777-788
    • Ji, Y.1    Chizeck, H.J.2
  • 7
    • 0003182919 scopus 로고    scopus 로고
    • Stability of stochastic differential equations with Markovian switching
    • Mao X. Stability of stochastic differential equations with Markovian switching. Stochastic Process Appl. 79 (1999) 45-67
    • (1999) Stochastic Process Appl. , vol.79 , pp. 45-67
    • Mao, X.1
  • 8
    • 33644858664 scopus 로고    scopus 로고
    • Numerical solutions of stochastic functional differential equations
    • Mao X. Numerical solutions of stochastic functional differential equations. LMS J. Comput. Math. 6 (2003) 141-161
    • (2003) LMS J. Comput. Math. , vol.6 , pp. 141-161
    • Mao, X.1
  • 9
    • 0242480166 scopus 로고    scopus 로고
    • Convergence of the Euler scheme for a class of stochastic differential equations
    • Mao X., Marion G., and Renshaw E. Convergence of the Euler scheme for a class of stochastic differential equations. Internat. Math. J. 1 1 (2002) 9-22
    • (2002) Internat. Math. J. , vol.1 , Issue.1 , pp. 9-22
    • Mao, X.1    Marion, G.2    Renshaw, E.3
  • 10
    • 33749624885 scopus 로고    scopus 로고
    • Stochastic differential delay equations with Markovian switching
    • Mao X., Matasov A., and Piunovskiy A.B. Stochastic differential delay equations with Markovian switching. Bernoulli 6 1 (2000) 73-90
    • (2000) Bernoulli , vol.6 , Issue.1 , pp. 73-90
    • Mao, X.1    Matasov, A.2    Piunovskiy, A.B.3
  • 12
    • 0003244179 scopus 로고    scopus 로고
    • Stability of stochastic hereditary systems with Markov switching
    • Shaikhet L. Stability of stochastic hereditary systems with Markov switching. Theory of Stochastic Processes 2 18 (1996) 180-184
    • (1996) Theory of Stochastic Processes , vol.2 , Issue.18 , pp. 180-184
    • Shaikhet, L.1
  • 14
    • 1642525869 scopus 로고    scopus 로고
    • Robust stability and controllability of stochastic differential delay equations with Markovian switching
    • Yuan C., and Mao X. Robust stability and controllability of stochastic differential delay equations with Markovian switching. Automatica 40 (2004) 343-354
    • (2004) Automatica , vol.40 , pp. 343-354
    • Yuan, C.1    Mao, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.