\(p\)th moment exponential stability of hybrid stochastic fourth-order parabolic equations

DOI10.1186/s13662-016-0781-yzbMath1419.60055OpenAlexW2289726507WikidataQ59468105 ScholiaQ59468105MaRDI QIDQ1796721

Ling Wei, Mianjun Duan, Quanxin Zhu, Zhangsong Yao

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0781-y

zbMATH Keywords

fixed point theoryexponential stabilityMarkov chainmild solutionstochastic fourth-order parabolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Initial value problems for higher-order parabolic equations (35K30) Higher-order parabolic equations (35K25)

Related Items (3)

Convergence and stability of stochastic parabolic functional differential equations ⋮ Construction of global solutions for a symmetric system of Keyfitz-Kranzer type with three piecewise constant states ⋮ Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation

Cites Work

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• Stochastic stabilization of hybrid differential equations
• Asymptotic behavior of solution to the Cahn-Hillard equation
• Stability analysis for stochastic Volterra–Levin equations with Poisson jumps: Fixed point approach

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