Solutions and comparison theorems for anticipated backward stochastic differential equations with non-Lipschitz generators

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 4

Abstract

This paper is devoted to solving multidimensional anticipated backward stochastic differential equations (anticipated BSDEs for short) with a kind of non-Lipschitz generators. We establish the existence and uniqueness result for L2 solutions of this kind of anticipated BSDEs, and establish the corresponding one-dimensional comparison theorems for the type of anticipated BSDEs. Our results improve some known results.

Authors and Affiliations

Xuecheng XU, Min Chen

Keywords

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  • EP ID EP651751
  • DOI 10.24297/jam.v12i4.345
  • Views 173
  • Downloads 0

How To Cite

Xuecheng XU, Min Chen (2016). Solutions and comparison theorems for anticipated backward stochastic differential equations with non-Lipschitz generators. JOURNAL OF ADVANCES IN MATHEMATICS, 12(4), 6139-6147. https://europub.co.uk./articles/-A-651751