JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (4): 46-54.doi: 10.6040/j.issn.1671-9352.0.2017.483

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Forward-backward stochastic differential equations on Markov chains

XIAO Xin-ling   

  1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, Shandong, China
  • Received:2017-09-22 Online:2018-04-20 Published:2018-04-13

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Abstract: In this paper, we mainly study the solutions about fully coupled forward-backward stochastic differential equations(FBSDE)on Markov chains. Using the usual method of continuation which is used to study fully coupled forward-backward stochastic differential equations, the Ito product rule of semimartingales, the Lebesgue control convergence theorem and iterative method, theorems about the solutions of the fully coupled forward-backward stochastic differential equations on Markov chains are obtained.

Key words: forward-backward stochastic differential equation, Markov chain, existence and uniqueness of solution

CLC Number: 

  • O211.63
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