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arxiv: 1005.4131 · v1 · submitted 2010-05-22 · 🧮 math.PR

Comparison Theorem of Multi-dimensional Backward Doubly Stochastic Differential Equations on Infinite Horizon

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keywords backwardcomparisondifferentialdoublyequationshorizoninfinitemulti-dimensional
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Under quasi-monotone assumptions for coefficients, we show one kind of comparison theorem for multi-dimensional\textbf{\}backward doubly stochastic differential equations on infinite horizon. An example is given as well.

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