A NOTE ON WEAK SOLUTIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS

被引：4
作者：
Ondrejat, Martin [1 ]
Seidler, Jan [1 ]
机构：
[1] Czech Acad Sci, Inst Informat Theory & Automat, Vodarenskou Vezi 4, Prague 18208 8, Czech Republic
来源：
KYBERNETIKA | 2018年 / 54卷 / 05期
关键词：
stochastic differential equations; continuous coefficients; weak solutions;
D O I：
10.14736/kyb-2018-5-0888
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
We revisit the proof of existence of weak solutions of stochastic differential equations with continuous coeficients. In standard proofs, the coefficients are approximated by more regular ones and it is necessary to prove that: i) the laws of solutions of approximating equations form a tight set of measures on the paths space, ii) its cluster points are laws of solutions of the limit equation. We aim at showing that both steps may be done in a particularly simple and elementary manner.
引用
收藏
页码：888 / 907
页数：20
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