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Existence of Random Attractors for a Class of Second-Order Lattice Dynamical Systems with Brownian Motions
Joint Authors
Lauria, Stanislao
Wang, Yamin
Alsaadi, Fuad E.
Huang, Ziqiao
Liu, Yurong
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-03
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper is concerned with the random attractors for a class of second-order stochastic lattice dynamical systems.
We first prove the uniqueness and existence of the solutions of second-order stochastic lattice dynamical systems in the space F=lλ2×l2.
Then, by proving the asymptotic compactness of the random dynamical systems, we establish the existence of the global random attractor.
The system under consideration is quite general, and many existing results can be regarded as the special case of our results.
American Psychological Association (APA)
Wang, Yamin& Huang, Ziqiao& Alsaadi, Fuad E.& Lauria, Stanislao& Liu, Yurong. 2014. Existence of Random Attractors for a Class of Second-Order Lattice Dynamical Systems with Brownian Motions. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1046574
Modern Language Association (MLA)
Wang, Yamin…[et al.]. Existence of Random Attractors for a Class of Second-Order Lattice Dynamical Systems with Brownian Motions. Mathematical Problems in Engineering No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1046574
American Medical Association (AMA)
Wang, Yamin& Huang, Ziqiao& Alsaadi, Fuad E.& Lauria, Stanislao& Liu, Yurong. Existence of Random Attractors for a Class of Second-Order Lattice Dynamical Systems with Brownian Motions. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1046574
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046574