Dans cette Note, nous démontrons que pour une fonction g donnée, uniformément continue en z, uniformément en et indépendante de y l'équation différentielle stochastique, rétrograde de générateur g, admet une solution unique.
In this Note, we prove that if g is uniformly continuous in z, uniformly with respect to and independent of y, the solution to the backward stochastic differential equation (BSDE) with generator g, is unique.
@article{CRMATH_2008__346_7-8_439_0, author = {Guangyan Jia}, title = {A uniqueness theorem for the solution of {Backward} {Stochastic} {Differential} {Equations}}, journal = {Comptes Rendus. Math\'ematique}, pages = {439--444}, publisher = {Elsevier}, volume = {346}, number = {7-8}, year = {2008}, doi = {10.1016/j.crma.2008.02.012}, language = {en}, }
Guangyan Jia. A uniqueness theorem for the solution of Backward Stochastic Differential Equations. Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 439-444. doi : 10.1016/j.crma.2008.02.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.02.012/
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