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

Meng Wu | Zendy; Nanjing Huang | Zendy; Changwen Zhao | Zendy

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

Author(s) -

Meng Wu,

Nanjing Huang,

Changwen Zhao

Publication year - 2008

Publication title -

fixed point theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.826

H-Index - 63

eISSN - 1687-1820

pISSN - 1687-1812

DOI - 10.1155/2008/407352

Subject(s) - mathematics , fixed point , stability (learning theory) , variable (mathematics) , differential geometry , fixed point theorem , mean square , exponential stability , differential equation , stochastic differential equation , mathematical analysis , nonlinear system , computer science , machine learning , physics , quantum mechanics

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

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