LaSalle-Type Theorems for General Nonlinear Stochastic Functional Differential Equations by Multiple Lyapunov Functions
Joint Authors
Zhao, Xueyan
Zhong, Xiaojing
Deng, Feiqi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We investigate LaSalle-type theorems for general nonlinear stochastic functional differential equations.
With some preliminaries on lemmas and the derivation techniques, we establish three LaSalle-type theorems for the general nonlinear stochastic functional differential equations via multiple Lyapunov functions.
For the typical special case with estimations involving | x t | p for the derivatives of the Lyapunov functions, a theorem is established as the corollary of the main theorem.
At the end of the paper, an example is given to illustrate the usage of the method proposed and show the advantage of the results obtained.
American Psychological Association (APA)
Zhao, Xueyan& Deng, Feiqi& Zhong, Xiaojing. 2014. LaSalle-Type Theorems for General Nonlinear Stochastic Functional Differential Equations by Multiple Lyapunov Functions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014071
Modern Language Association (MLA)
Zhao, Xueyan…[et al.]. LaSalle-Type Theorems for General Nonlinear Stochastic Functional Differential Equations by Multiple Lyapunov Functions. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1014071
American Medical Association (AMA)
Zhao, Xueyan& Deng, Feiqi& Zhong, Xiaojing. LaSalle-Type Theorems for General Nonlinear Stochastic Functional Differential Equations by Multiple Lyapunov Functions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014071
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014071