期刊
STATISTICS & PROBABILITY LETTERS
卷 81, 期 11, 页码 1690-1694出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.spl.2011.05.005
关键词
Khasminskii-type theorems; Stochastic functional differential equations; Infinite delay; Global solutions
资金
- National Natural Science Foundation of China [11001091]
- Fundamental Research Funds for the Central Universities [HUST2010MS129]
The classical Khasminskii-type theorem gives a powerful tool to examine the global existence of solutions for stochastic differential equations without the linear growth condition by the use of the Lyapunov functions. However, there is no such result for stochastic functional equations with infinite delay. The main aim of this paper is to establish the existence-and-uniqueness theorems of global solutions for stochastic functional differential equations with infinite delay. (C) 2011 Elsevier B.V. All rights reserved.
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