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A class of backward doubly stochastic differential equations with non-Lipschitz coefficients

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  • Lin, Qian

Abstract

In this paper, we deal with a class of one-dimensional backward doubly stochastic differential equations (BDSDEs) with non-Lipschitz coefficients. We obtain an existence theorem and a comparison theorem for solutions of the class of BDSDEs.

Suggested Citation

  • Lin, Qian, 2009. "A class of backward doubly stochastic differential equations with non-Lipschitz coefficients," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2223-2229, October.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:20:p:2223-2229
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    References listed on IDEAS

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    1. Hamadène, S. & Lepeltier, J. -P., 2000. "Reflected BSDEs and mixed game problem," Stochastic Processes and their Applications, Elsevier, vol. 85(2), pages 177-188, February.
    2. Lepeltier, J. P. & San Martin, J., 1997. "Backward stochastic differential equations with continuous coefficient," Statistics & Probability Letters, Elsevier, vol. 32(4), pages 425-430, April.
    3. N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71, January.
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    Cited by:

    1. Li, Zhi & Luo, Jiaowan, 2012. "One barrier reflected backward doubly stochastic differential equations with discontinuous monotone coefficients," Statistics & Probability Letters, Elsevier, vol. 82(10), pages 1841-1848.
    2. Zhu, Runyu & Tian, Dejian, 2019. "Existence and uniqueness of solutions for BDSDEs with weak monotonicity coefficients," Statistics & Probability Letters, Elsevier, vol. 153(C), pages 48-55.

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