pth Moment Exponential Stability of Nonlinear Hybrid Stochastic Heat Equations
Joint Authors
Yang, Xuetao
Zhu, Quanxin
Yao, Zhangsong
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-04
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We are concerned with the exponential stability problem of a class of nonlinear hybrid stochastic heat equations (known as stochastic heat equations with Markovian switching) in an infinite state space.
The fixed point theory is utilized to discuss the existence, uniqueness, and pth moment exponential stability of the mild solution.
Moreover, we also acquire the Lyapunov exponents by combining the fixed point theory and the Gronwall inequality.
At last, two examples are provided to verify the effectiveness of our obtained results.
American Psychological Association (APA)
Yang, Xuetao& Zhu, Quanxin& Yao, Zhangsong. 2014. pth Moment Exponential Stability of Nonlinear Hybrid Stochastic Heat Equations. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-474979
Modern Language Association (MLA)
Yang, Xuetao…[et al.]. pth Moment Exponential Stability of Nonlinear Hybrid Stochastic Heat Equations. Mathematical Problems in Engineering No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-474979
American Medical Association (AMA)
Yang, Xuetao& Zhu, Quanxin& Yao, Zhangsong. pth Moment Exponential Stability of Nonlinear Hybrid Stochastic Heat Equations. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-474979
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474979