Approximate controllability for a semilinear stochastic evolution system with infinite delay in \(L_p\) space

DOI10.1007/s00245-016-9332-xzbMath1372.34120OpenAlexW2265079726MaRDI QIDQ2400493

Xianlong Fu, Fatima Zahra Mokkedem

Publication date: 1 September 2017

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-016-9332-x

zbMATH Keywords

fundamental solutionapproximate controllabilityinfinite delayresolvent conditionstochastic evolution system

Mathematics Subject Classification ID

Controllability (93B05) Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Control problems for functional-differential equations (34K35) Applications of operator theory to differential and integral equations (47N20)

Related Items (13)

Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order \(1 < \alpha < 2\) ⋮ Approximate controllability of semilinear system involving state-dependent delay via fundamental solution ⋮ Approximate controllability for impulsive stochastic delayed differential inclusions ⋮ Approximate controllability for a stochastic elastic system with structural damping and infinite delay ⋮ Approximate controllability for nonlocal fractional propagation systems of Sobolev type ⋮ Approximate controllability for semilinear second-order neutral evolution equations with infinite delay ⋮ Approximate controllability for second-order stochastic neutral evolution equations with infinite delay ⋮ Approximate Controllability of Nonlocal Impulsive Stochastic Differential Equations with Delay ⋮ Approximate controllability for semilinear second-order stochastic evolution systems with infinite delay ⋮ Approximate controllability of second-order stochastic differential systems driven by a Lévy process ⋮ APPROXIMATION OF FRACTIONAL RESOLVENTS AND APPLICATIONS TO TIME OPTIMAL CONTROL PROBLEMS ⋮ Approximate controllability for a new class of stochastic functional differential inclusions with infinite delay ⋮ Approximate controllability of impulsive system involving state-dependent delay and variable delay in control via fundamental solution

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