p th Moment Exponential Stability of Nonlinear Hybrid Stochastic Heat Equations

Xuetao Yang, Quanxin Zhu and Zhangsong Yao

Mathematical Problems in Engineering, 2014, vol. 2014, 1-7

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 th 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:481246

DOI: 10.1155/2014/481246

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