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非Lipschitz条件下的包含下微分算子的带跳倒向随机微分方程

张孟

数学杂志2012,Vol.32Issue(5):816-824,9.
数学杂志2012,Vol.32Issue(5):816-824,9.

非Lipschitz条件下的包含下微分算子的带跳倒向随机微分方程

BSDE WITH JUMPS INVOLVING A SUBDIFFERENTIAL OPERATOR WITH NON-LIPSCHITZ COEFFICIENT

张孟1

作者信息

  • 1. 中山大学数学与计算科学学院,广东广州510275
  • 折叠

摘要

Abstract

In this paper,a class of multivalued backward stochastic differential equaitons (MBSDE for short) with non-Lipschitz coefficient is studied.By using a penalization argument based on the Yosida approximation and the existence and uniqueness of solutions to backward stochastic differential equations with jumps under non-Lipschitz condition,we prove the equation has a unique solution.

关键词

带跳的倒向随机微分方程/非lipschitz/Yosida估计/下微分算子

Key words

BSDE with jumps/non-Lipschitz/Yosida approximation/subdifferential operator

分类

数理科学

引用本文复制引用

张孟..非Lipschitz条件下的包含下微分算子的带跳倒向随机微分方程[J].数学杂志,2012,32(5):816-824,9.

基金项目

Supported by National Natural Science Foundation of China(10871215). (10871215)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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