Solvability and Optimal Controls of Impulsive Stochastic Evolution Equations in Hilbert Spaces

Solvability and Optimal Controls of Impulsive Stochastic Evolution Equations in Hilbert Spaces

This paper examines the solvability and optimal control of a class of impulsive stochastic evolution equations in a Hilbert space. First, we investigate the existence and uniqueness of mild solutions for the considered system. Next, we determine the conditions necessary for the existence of optimal...

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Veröffentlicht in:arXiv.org 2024-07
Hauptverfasser: Asadzade, Javad A, Mahmudov, Nazim I
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Evolution
Hilbert space
Optimal control
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description This paper examines the solvability and optimal control of a class of impulsive stochastic evolution equations in a Hilbert space. First, we investigate the existence and uniqueness of mild solutions for the considered system. Next, we determine the conditions necessary for the existence of optimal control pairs. Finally, we present an example to illustrate the effectiveness of our theoretical results.
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subjects Evolution
Hilbert space
Optimal control
title Solvability and Optimal Controls of Impulsive Stochastic Evolution Equations in Hilbert Spaces
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