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一类特殊的延迟倒向随机微分方程的最小解

凃淑恒 廖俊俊

数学杂志2016,Vol.36Issue(5):940-948,9.
数学杂志2016,Vol.36Issue(5):940-948,9.

一类特殊的延迟倒向随机微分方程的最小解

THE MINIMAL SOLUTION OF A SPECIAL ANTICIPATED BACKWARD STOCHASTIC DIFFERENTIAL EQUATION

凃淑恒 1廖俊俊2

作者信息

  • 1. 河南工业大学理学院,河南郑州 450002
  • 2. 华中科技大学数学与统计学院,湖北武汉 430074
  • 折叠

摘要

Abstract

In this paper, we study the problem of a minimal solution to a special class of anticipated backward stochastic differential equation. When the generator is continuous and sat-isfying a similar linear growth condition, we prove the existence of minimal solutions. Here, our hypotheses are weaker than the before papers, however, we obtain a better lemma and the same result.

关键词

延迟倒向随机微分方程/最小解/比较定理

Key words

anticipated backward stochastic differential equations/minimal solution/com-parison theorem

分类

数理科学

引用本文复制引用

凃淑恒,廖俊俊..一类特殊的延迟倒向随机微分方程的最小解[J].数学杂志,2016,36(5):940-948,9.

基金项目

Supported by National Natural Science Foundation of China (10671182) (10671182)

数学杂志

OA北大核心CSTPCD

0255-7797

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