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- Title
pth Moment Exponential Stability of Nonlinear Hybrid Stochastic Heat Equations.
- Authors
Xuetao Yang; Quanxin Zhu; Zhangsong Yao
- Abstract
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.
- Subjects
EXPONENTIAL stability; NONLINEAR systems; HYBRID systems; HEAT equation; STOCHASTIC analysis; LYAPUNOV exponents
- Publication
Mathematical Problems in Engineering, 2014, p1
- ISSN
1024-123X
- Publication type
Article
- DOI
10.1155/2014/481246