Reflected and Doubly Reflected Backward Stochastic Differential Equations with Time-Delayed Generators

被引:0
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作者
Monia Karouf
机构
[1] Gabès University,Higher Institute of Applied Sciences and Technologies of Gabès & LR17ES11
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关键词
Backward stochastic differential equation; Time-delayed generator; Poisson point process; Mokobodski’s hypothesis; Fixed point theorem; Comparison theorem; 34K12; 60H10; 60H20; 60G40; 60G55; 60G57;
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摘要
In this paper, we study reflected backward stochastic differential equations with two reflecting barriers and time-delayed generators (delay RBSDEs for short). We consider the case of Brownian noise as well as the case of Brownian and Poisson noise. For both cases, we show the existence and uniqueness of the solution and give a comparison theorem.
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页码:216 / 248
页数:32
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