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Existence of solution for Mean-field Reflected Discontinuous Backward Doubly Stochastic Differential Equation

  • Autores: Mostapha Abdelouahab Saouli
  • Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 5, Nº. 2, 2020, págs. 205-216
  • Idioma: inglés
  • DOI: 10.2478/amns.2020.2.00038
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  • Resumen
    • In this paper we prove the existence of a solution for mean-field reflected backward doubly stochastic differential equations (MF-RBDSDEs) with one continuous barrier and discontinuous generator (left-continuous). By a comparison theorem establish here for MF-RBDSDEs, we provide a minimal or a maximal solution to MF-RBDSDEs.


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