The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients

Wei Mao, Liangjian Hu, Surong You, Xuerong Mao

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Abstract

In this paper, we study the averaging principle for multivalued SDEs with jumps and non-Lipschitz coefficients. By the Bihari’s inequality and the properties of the concave function, we prove that the solution of averaged multivalued SDE with jumps converges to that of the standard one in the sense of mean square and also in probability. Finally, two examples are presented to illustrate our theory.
Original languageEnglish
Number of pages19
JournalDiscrete and Continuous Dynamical Systems - Series B
Publication statusAccepted/In press - 3 Oct 2018

Keywords

  • multivalued SDES
  • non-Lipschitz coefficients
  • averaging principle
  • poisson random measure

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  • Projects

    Epsrc Doctoral Training Grant | Liang, Yanfeng

    Greenhalgh, D., Mao, X. & Liang, Y.

    EPSRC (Engineering and Physical Sciences Research Council)

    1/10/123/10/16

    Project: Research Studentship - Internally Allocated

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