Approximate Controllability of Neutral Stochastic Functional Differential Systems with Infinite Delay

DOI10.1080/07362990802405695zbMath1186.93014OpenAlexW2047895045MaRDI QIDQ5305286

Jong Yeoul Park, Pagavathigounder Balasubramaniam, Palanisamy Muthukumar

Publication date: 19 March 2010

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362990802405695

zbMATH Keywords

Hilbert spaceapproximate controllabilitymild solutionanalytic semigroupneutral stochastic functional differential equation

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by functional-differential equations (93C23) Stochastic systems in control theory (general) (93E03)

Related Items (25)

Approximate controllability of fractional nonlinear differential inclusions ⋮ Approximate controllability of stochastic differential system with non-Lipschitz conditions ⋮ Approximate controllability of semilinear system with state delay using sequence method ⋮ On approximate controllability of second-order neutral partial stochastic functional integrodifferential inclusions with infinite delay and impulsive effects ⋮ Approximate controllability of fractional stochastic differential equations driven by mixed fractional Brownian motion via resolvent operators ⋮ Approximate controllability for impulsive stochastic delayed differential inclusions ⋮ A note on approximate controllability of second‐order neutral stochastic delay integro‐differential evolution inclusions with impulses ⋮ Approximate controllability of second-order damped McKean-Vlasov stochastic evolution equations ⋮ Approximate Controllability of Fractional Impulsive Partial Neutral Stochastic Differential Inclusions with State-Dependent Delay and Fractional Sectorial Operators ⋮ Approximate controllability of second-order neutral stochastic differential equations with infinite delay and Poisson jumps ⋮ Attracting and quasi-invariant sets of neutral stochastic integro-differential equations with impulses driven by fractional Brownian motion ⋮ Approximate controllability of a fractional stochastic partial integro-differential systems via noncompact operators ⋮ Controllability of fractional neutral stochastic integro-differential systems with infinite delay ⋮ Controllability of fractional impulsive neutral stochastic functional differential equations via Kuratowski measure of noncompactness ⋮ Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces ⋮ Controllability of fractional neutral stochastic functional differential systems ⋮ Controllability results for non densely defined impulsive fractional differential equations in abstract space ⋮ Approximate controllability of partial fractional neutral stochastic functional integro-differential inclusions with state-dependent delay ⋮ Unnamed Item ⋮ Approximate controllability of a second-order neutral stochastic differential equation with state-dependent delay ⋮ Approximate controllability of impulsive neutral stochastic functional differential system with state-dependent delay in Hilbert spaces ⋮ Approximate controllability of semilinear neutral evolution systems with delay ⋮ Approximate controllability of second-order stochastic distributed implicit functional differential systems with infinite delay ⋮ On approximate controllability of fractional stochastic neutral integro-differential inclusions with infinite delay ⋮ Approximate controllability of second-order nonlocal impulsive partial functional integro-differential evolution systems in Banach spaces

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
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• Functional differential equations with infinite delay
• Existence results for partial neutral functional differential equations with unbounded delay
• Approximate controllability of neutral functional differential system with unbounded delay
• Controllability for parabolic equations with uniformly bounded nonlinear terms
• Existence results for partial neutral functional integrodifferential equations with unbounded delay
• Approximate controllability of semilinear functional equations in Hilbert spaces
• Approximate controllability of semilinear neutral systems in Hilbert spaces
• Exponential ergodicity for stochastic Burgers and 2D Navier-Stokes equations
• Approximate Controllability for a Class of Semilinear Abstract Equations
• Approximate controllability of nonautonomous semilinear systems

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