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20092021
most citedGeneralized backward doubly stochastic differential equations driven by Lévy processes with non-Lipschitz coefficients

1 citations · 2 across the 7 of their papers we have counts for

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7 papers

math.PR2021

Generalized Backward doubly SDEs driven by Lévy processes with discontinuous and linear growth coefficients

Jean Marc Owo, Auguste Aman

This paper deals with generalized backward doubly stochastic differential equations driven by a Lévy process (GBDSDEL, in short). Under left or right continuous and linear growth c…

math.PR2021

Stochastic viscosity solutions of reflected stochastic partial differential equations with non-Lipschitz coefficients

Yong Ren, Jean Marc Owo, Auguste Aman

This paper, is an attempt to extend the notion of stochastic viscosity solution to reflected semi-linear stochastic partial differential equations (RSPDEs, in short) with non-Lipsc…

math.PR2021★ 1 cited

-solutions of backward stochastic differential equations with time-delayed generators

Yong Ren, Jean Marc Owo, Auguste Aman

This article is devoted to study the class of backward stochastic differential equation with delayed generator. We suppose the terminal value and the generator to be -integr…

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…

math.PR2009

Backward Doubly Stochastic Integral Equations of the Volterra Type

Jean Marc Owo

In this paper, we study backward doubly stochastic integral equations of the Volterra type (BDSIEVs in short). Under uniform Lipschitz assumptions, we establish an existence and un…