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A Class of Stochastic Nonlinear Delay System with Jumps
Joint Authors
Bai, Ling
Zhao, Wenju
Zhang, Kai
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider stochastic suppression and stabilization for nonlinear delay differential system.
The system is assumed to satisfy local Lipschitz condition and one-side polynomial growth condition.
Since the system may explode in a finite time, we stochastically perturb this system by introducing independent Brownian noises and Lévy noise feedbacks.
The contributions of this paper are as follows.
(a) We show that Brownian noises or Lévy noise may suppress potential explosion of the solution for some appropriate parameters.
(b) Using the exponential martingale inequality with jumps, we discuss the fact that the sample Lyapunov exponent is nonpositive.
(c) Considering linear Lévy processes, by the strong law of large number for local martingale, sufficient conditions for a.s.
exponentially stability are investigated in Theorem 13.
American Psychological Association (APA)
Bai, Ling& Zhang, Kai& Zhao, Wenju. 2014. A Class of Stochastic Nonlinear Delay System with Jumps. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-473118
Modern Language Association (MLA)
Bai, Ling…[et al.]. A Class of Stochastic Nonlinear Delay System with Jumps. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-473118
American Medical Association (AMA)
Bai, Ling& Zhang, Kai& Zhao, Wenju. A Class of Stochastic Nonlinear Delay System with Jumps. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-473118
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473118