The converse comparison theorem has received much attention in the theory of backward stochastic differential equations … (BSDEs). However, no such theorem has been proved for anticipated BSDEs. In this paper, we derive a converse comparison … theorem by first giving an existence and uniqueness theorem for adapted solutions of anticipated BSDEs with a stopping time …

of generators and a converse comparison theorem of solutions are established in this paper. …

, continuous time Markov chains. The adapted solution of those equations as well as a scalar comparison theorem will be established. …

point argument. Under monotone assumptions for coefficients, we show a comparison theorem for MF-RBSDEs. We finally get an … existence and a comparison theorem of the minimal solution when the coefficients are continuous, non-decreasing in y′ and have a …

continuous barrier and discontinuous (left or right continuous) monotone generator. An existence theorem and a comparison theorem …

this setting, the existence of the minimal solution to the BSDE. And we also prove a comparison theorem and a Levi type …

for anticipated backward stochastic differential equations as well as a comparison theorem are obtained. The existence and …