\(p\)th moment exponential stability of nonlinear hybrid stochastic heat equations
type: Item
instance of: scholarly article
title: \(p\)th moment exponential stability of nonlinear hybrid stochastic heat equations
zbMATH Open document ID: 1407.93425
DOI: 10.1155/2014/481246
author: Xuetao Yang
author: Quanxin Zhu
author: Zhangsong Yao
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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 \(p\)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.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60J27
zbMATH DE Number: 7016534
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/481246
OpenAlex ID: W2105405194
Wikidata QID: Q59067502
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description: scientific article; zbMATH DE number 7016534