Stability of Nonlinear Neutral Stochastic Functional Differential Equations | Zendy

Minggao Xue | Zendy; Shaobo Zhou | Zendy; Shigeng Hu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability of Nonlinear Neutral Stochastic Functional Differential Equations

Author(s) -

Minggao Xue,

Shaobo Zhou,

Shigeng Hu

Publication year - 2010

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2010/425762

Subject(s) - nonlinear system , uniqueness , lipschitz continuity , mathematics , stability (learning theory) , cover (algebra) , class (philosophy) , exponential function , mathematical analysis , computer science , physics , mechanical engineering , quantum mechanics , machine learning , artificial intelligence , engineering

Neutral stochastic functional differential equations (NSFDEs) have recently been studied intensively. The well-known conditions imposed for the existence and uniqueness and exponential stability of the global solution are the local Lipschitz condition and the linear growth condition. Therefore, the existing results cannot be applied to many important nonlinear NSFDEs. The main aim of this paper is to remove the linear growth condition and establish a Khasminskii-type test for nonlinear NSFDEs. New criteria not only cover a wide class of highly nonlinear NSFDEs but they can also be verified much more easily than the classical criteria. Finally, several examples are given to illustrate main results

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research