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Razumikhin-type theorem for neutral stochastic functional differential equations with unbounded delay

Wu, Fuke and Hu, Shigeng and Mao, Xuerong (2011) Razumikhin-type theorem for neutral stochastic functional differential equations with unbounded delay. Acta Mathematica Scientia, 31B (4). pp. 1245-1258.

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Abstract

This paper establishes the Razumikhin-type theorem on stability for neutral stochastic functional differential equations with unbounded delay. To overcome difficulties from unbounded delay, we develop several different techniques to investigate stability. To show our idea clearly, we examine neutral stochastic delay differential equations with unbounded delay and linear neutral stochastic Volterra unbounded-delay-integro-differential equations.

Item type: Article
ID code: 36922
Keywords: neutral stochastic functional differential equaitons, Razumikhink-tpe theorem, exponential stability, polynomial stability, Probabilities. Mathematical statistics, Physics and Astronomy(all), Mathematics(all)
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
Depositing user: Pure Administrator
Date Deposited: 20 Jan 2012 15:18
Last modified: 27 Mar 2014 09:55
URI: http://strathprints.strath.ac.uk/id/eprint/36922

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