Asymptotic stability of impulsive stochastic partial integrodifferential equations with delays

DOI10.1080/17442508.2013.879143zbMath1337.60136OpenAlexW2031933780MaRDI QIDQ2811100

Mamadou Abdoul Diop, Khalil Ezzinbi, Modou Lo

Publication date: 10 June 2016

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2013.879143

zbMATH Keywords

asymptotic stabilitymild solutionresolvent operatorpartial functional differential equationsdelaysimpulsive stochastic equations

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (8)

Stochastic functional differential equations of Sobolev-type with infinite delay ⋮ Unnamed Item ⋮ Stability for some impulsive neutral stochastic functional integro-differential equations driven by fractional Brownian motion ⋮ Retarded stochastic differential equations with infinite delay driven by Rosenblatt process ⋮ Existence and exponential behavior of multi-valued nonlinear fractional stochastic integro-differential equations with Poisson jumps of Clarke's subdifferential type ⋮ Stochastic partial functional integrodifferential equations driven by a sub-fractional Brownian motion, existence and asymptotic behavior ⋮ Impulses-induced p-exponential input-to-state stability for a class of stochastic delayed partial differential equations ⋮ On the asymptotic stability of impulsive neutral stochastic partial integrodifferential equations with variable delays and Poisson jumps

Cites Work

• Mild solution of neutral stochastic partial functional integrodifferential equations with non-Lipschitz coefficients
• Existence of solutions for impulsive partial neutral functional differential equations
• Mean square stability analysis of impulsive stochastic differential equations with delays
• Remarks on the existence and uniqueness of the solutions to stochastic functional differential equations with infinite delay
• Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay
• Asymptotic stability of nonlinear impulsive stochastic differential equations
• Asymptotic stability of impulsive stochastic partial differential equations with infinite delays
• Existence results for an impulsive neutral functional differential equation with state-dependent delay

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