Optimal controls problems for some impulsive stochastic integro-differential equations with state-dependent delay

DOI10.1080/17442508.2022.2029446zbMath1499.34384OpenAlexW4210382141WikidataQ115295053 ScholiaQ115295053MaRDI QIDQ5056595

Amadou Diop, Mamadou Abdoul Diop, Khalil Ezzinbi, Paul Dit Akouni Guindo

Publication date: 8 December 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2022.2029446

zbMATH Keywords

optimal controlintegro-differential equationsphase spacemild solutionresolvent operatorfixed point theoremstate-dependent delayimpulsive partial stochastic system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Integro-ordinary differential equations (45J05) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Existence theories for optimal control problems involving partial differential equations (49J20) Abstract integral equations, integral equations in abstract spaces (45N05) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (4)

A study on mild solutions for multi-term time fractional measure differential equations ⋮ On the \(S\)-asymptotically \(\omega\)-periodic mild solutions for multi-term time fractional measure differential equations ⋮ Existence of mild solutions for multi-term time fractional measure differential equations ⋮ On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions

Cites Work

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• Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi's function
• Approximate controllability of nonlocal neutral fractional integro-differential equations with finite delay
• Differentiability of solutions of abstract neutral integro-differential equations
• The solvability and optimal controls of impulsive fractional semilinear differential equations
• Existence results for neutral integro-differential equations with unbounded delay
• On state-dependent delay partial neutral functional--differential equations
• Periodic boundary value problems for nonlinear impulsive evolution equations on Banach spaces
• Local existence and regularity of solutions for some partial functional integrodifferential equations with infinite delay in Banach spaces
• Some considerations for linear integrodifferential equations
• Functional differential equations with infinite delay
• On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses
• Controllability and optimal control for a class of time-delayed fractional stochastic integro-differential systems
• Nonlocal Cauchy problem for analytic resolvent integrodifferential equations in Banach spaces
• Nonlocal impulsive problems for nonlinear differential equations in Banach spaces
• Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses
• Optimal control problem for stochastic evolution equations in Hilbert spaces
• Stability of square-mean almost automorphic mild solutions to impulsive stochastic differential equations driven by G-Brownian motion
• Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay
• Approximate controllability of impulsive differential equations with state-dependent delay
• Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
• Resolvent Operators for Integral Equations in a Banach Space
• Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution
• Sobolev-type stochastic differential equations driven by G-Brownian motion
• Nonlinear impulsive integro-differential equations of mixed type and optimal controls
• Existence results for abstract partial neutral integro-differential equation with unbounded delay

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