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Fixed Points and Stability in Neutral Stochastic Differential Equations with Variable Delays

By Chang-Wen Zhao, Nan-jing Huang and Meng Wu


We consider the mean square asymptotic stability of a generalized linear neutral stochastic differential equation with variable delays by using the fixed point theory. An asymptotic mean square stability theorem with a necessary and sufficient condition is proved, which improves and generalizes some results due to Burton, Zhang and Luo. Two examples are also given to illustrate our results

Topics: Mathematics, QA1-939, Science, Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics, Applied mathematics. Quantitative methods, T57-57.97, Analysis, QA299.6-433
Publisher: Springer
Year: 2008
DOI identifier: 10.1155/2008
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