Infinite horizon forward–backward stochastic differential equations

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A type of time-symmetric forward–backward stochastic differential equations (2003, methodology): “One of these directions was initialized by Hu and Peng [5] and developed by Peng and Wu [12], Yong [13], Peng and Shi [11] and Peng [10], which generalized stochastic Hamiltonian systems introduced by Bismut [3] in 1973 and then systematically investigated by Bensoussan [2].”