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Backward stochastic differential equations with continuous coefficient

โœ Scribed by J.P. Lepeltier; J. San Martin


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
214 KB
Volume
32
Category
Article
ISSN
0167-7152

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โœฆ Synopsis


We prove the existence of a solution for "one dimensional" backward stochastic differential equations where the coefficient is continuous, it has a linear growth, and the terminal condition is squared integrable. We also obtain the existence of a minimal solution.


๐Ÿ“œ SIMILAR VOLUMES


Comparison theorem for solutions of back
โœ Jicheng Liu; Jiagang Ren ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 106 KB

Comparison theorems for solutions of one-dimensional backward stochastic di erential equations were established by Peng and Cao-Yan, where the coe cients were, respectively, required to be Lipschitz and Dini continuous. In this work, we generalize the comparison theorem to the case where the coe cie