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math.PR2010
Reflected backward doubly stochastic differential equations with discontinuous generator
Auguste Aman, Jean Marc Owo
In this note, we study one-dimensional reflected backward doubly stochastic differential equations (RBDSDEs) with one continuous barrier and discontinuous generator (left-or right-…
math.PR2010
Generalized backward doubly stochastic differential equations driven by Lévy processes with continuous coefficients
Auguste Aman, Jean Marc Owo
A new class of generalized backward doubly stochastic differential equations (GBDSDEs in short) driven by Teugels martingales associated with Lévy process are investigated. We esta…