The existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay in abstract space

DOI10.1007/s10440-009-9465-xzbMath1194.34151OpenAlexW2087647723MaRDI QIDQ970470

Shigeng Hu, Yong Xu

Publication date: 19 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9465-x

zbMATH Keywords

existenceuniquenessphase spaceinfinite delayneutral stochastic functional differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic functional-differential equations (34K50) Neutral functional-differential equations (34K40)

Related Items (6)

Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition ⋮ Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non-Lipschitz conditions ⋮ Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Mönch fixed point ⋮ Existence results for an impulsive neutral stochastic fractional integro-differential equation with infinite delay ⋮ Observer-based decentralized control for uncertain interconnected systems of neutral type ⋮ Unnamed Item

Cites Work

• Global stability for infinite delay Lotka--Volterra type systems
• The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay
• Wellposedness and wave propagation for a class of integrodifferential equations in Banach space
• On Caratheodory conditions for functional differential equations with infinite delays
• An integrodifferential equation for rigid heat conductors with memory
• Introduction to functional differential equations
• Theory and applications of partial functional differential equations
• Boundary value problems on half-line for functional differential equations with infinite delay in a Banach space
• A general theory of heat conduction with finite wave speeds
• Nonlinear oscillations in a distributed network
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