
An Existence and Uniqueness Result for BSDEs with Uniformly Continuous Generators in z
Sheng Jun FAN, Long JIANG
Acta Mathematica Sinica, Chinese Series ›› 2011, Vol. 54 ›› Issue (2) : 187-194.
An Existence and Uniqueness Result for BSDEs with Uniformly Continuous Generators in z
backward stochastic differential equation / existence and uniqueness / uniformly continuous {{custom_keyword}} /
[1] Pardoux E., Peng S., Adapted solution of a backward stochastic differential equation, Systems Control Letters, 1990, 14: 55-61.
[2] Mao X., Adapted solutions of backward stochastic differential equations with non-Lipschitz coefficients, Stochastic Process and Their Applications, 1995, 58: 281-292.
[3] Lepetier J. P., San Martin J., Backward stochastic differential equations with continuous coefficient, Statistics and Probability Letters, 1997, 32: 425-430.
[4] Pardoux E., BSDEs, weak convergence and homogenization of semilinear PDEs. Nonlinear Analysis, Differential Equations and Control (Montreal, QC,1998). Kluwer Academic Publishers, Dordrecht, 1999, 503-549.
[5] Kobylanski M., Backward stochastic differential equations and partial equations with quadratic growth, Ann. Probab., 2000, 28: 259-276.
[6] Constantin G., On the existence and uniqueness of adapted solutions for backward stochastic differential equations, Analele Universit?t?ii din Timi?soara, Seria Matematic?-Informatic?, 2001, XXXIX(2): 15-22.
[7] Briand Ph., Hu Y., Quadratic BSDEs with convex generators and unbounded terminal conditions, Probab. Theory Related Fields, 2008, 141: 543-567.
[8] Hamad`ene S., Multidimensional backward stochastic differential equations with uniformly continuous coefficients, Bernoulli, 2003, 9(3): 517-534.
[9] Jia G., A uniqueness theorem for the solution of backward stochastic differential equations, C.R. Acad. Sci. Paris, Ser. I, 2008, 346: 439-444.
[10] Fan S., Jiang L., Existence and uniqueness result for a BSDE whose generator is Lipschitz continuous in y and uniformly continuous in z, Journal of Applied Mathematics and Computing, 2010, doi: 10.1007/s12190- 010-0384-9.
[11] Fan S., Jiang L., Uniqueness result for BSDEs whose generator is monotonic in y and uniformly continuous in z, C.R. Acad. Sci. Paris, Ser. I, 2010, 348: 89-92.
[12] Cao Zh., Yan J., A comparison theorem for solutions of backward stochastic differential equations, Advances in Mathematics, 1999, 28(4): 304-308.
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