On approximate solution of stochastic delay evolution equation in infinite dimensions
作者:
Kai Liu,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1998)
卷期:
Volume 19,
issue 1-2
页码: 81-90
ISSN:0163-0563
年代: 1998
DOI:10.1080/01630569808816816
出版商: Marcel Dakker Inc.,
数据来源: Taylor
摘要:
In [6] [7], the coefficients of given equation are supposed to be Lipschitz continuity or to be a bit weaker than Lipschitz continuity for establishing existence and uniqueness of the solution. In this paper, we show that, under the assumption of so-called pathwise uniqueness to the equation, a weaker restriction to coefficients than these mentioned above will recapture the convergence of Carathéodory approximation of the equation in the strong sense.
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