A note on the existence of stochastic integro-differential equations with memory

DOI10.1002/MMA.3207zbMath1325.34091OpenAlexW2016786225MaRDI QIDQ5266270

Diem Dang Huan, Hong-Jun Gao

Publication date: 30 July 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3207

zbMATH Keywords

infinite delayresolvent operatorimpulsive neutral stochastic integro-differential equationsKrasnoselskii-Schaefer type fixed point theorem

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20) General theory of functional-differential equations (34K05)

Related Items (4)

Sobolev-type fractional stochastic differential equations with non-Lipschitz coefficients ⋮ Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces ⋮ Unnamed Item ⋮ General decay stability of backward Euler-Maruyama method for nonlinear stochastic integro-differential equations

Cites Work

• Unnamed Item
• Existence results for impulsive neutral functional integrodifferential equations with infinite delay
• Almost automorphic mild solutions to some partial neutral functional-differential equations and applications
• Existence of mild solutions to stochastic neutral partial functional differential equations with non-Lipschitz coefficients
• Asymptotic stability of nonlinear impulsive stochastic differential equations
• Existence results for impulsive neutral evolution integrodifferential equations with infinite delay
• Analytic resolvent operators for integral equations in Banach space
• Functional differential equations with infinite delay
• Existence results for partial neutral functional integrodifferential equations with unbounded delay
• Existence of solutions for impulsive partial stochastic neutral integrodifferential equations with state-dependent delay
• The exponential stability of neutral stochastic delay partial differential equations
• Existence of Solution of Nonlinear Neutral Stochastic Differential Inclusions with Infinite Delay
• Resolvent Operators for Integral Equations in a Banach Space
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type

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