Abstract
The main aim of this paper is to establish several new criteria on the attractor for the solutions of neutral stochastic functional differential equations. A kind of ψ-function is introduced to our discussion, and some results on the attractor for the product of the ψ-function and the solutions are obtained. As a byproduct, a number of new criteria on asymptotic stability are also shown.
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Foundation item: Supported by the National Natural Science Foundation of China (10671078)
Biography: CEN Liqun(1975–), female, Ph.D. candidate, research direction: theory and applications of stochastic differential equations.
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Cen, L., Dai, W. & Hu, S. Attraction and stability for neutral stochastic functional differential equations. Wuhan Univ. J. Nat. Sci. 14, 205–209 (2009). https://doi.org/10.1007/s11859-009-0304-8
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DOI: https://doi.org/10.1007/s11859-009-0304-8