Approximate and optimal controllability of a second order non-autonomous stochastic differential equation with deviated arguments

This paper studies a second-order non-autonomous stochastic differential equation with deviated arguments and nonlocal finite delay in a Hilbert space. The objective is to provide sufficient conditions existence and uniqueness of the mild solution and the approximate and optimal controllability of t...

Full description

Saved in:
Bibliographic Details
Published in:Afrika mathematica 2023-09, Vol.34 (3), Article 45
Main Authors: Raheem, A., Khatoon, A., Afreen, A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Controllability
Differential equations
Fixed points (mathematics)
Hilbert space
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
Operators (mathematics)
Optimal control
Stochastic processes
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper studies a second-order non-autonomous stochastic differential equation with deviated arguments and nonlocal finite delay in a Hilbert space. The objective is to provide sufficient conditions existence and uniqueness of the mild solution and the approximate and optimal controllability of the stochastic control system. We used Krasnoselskii’s fixed point theorem, the theory of compact semigroup, evolution operators, and stochastic analysis techniques to establish these results. An example is included as an application to demonstrate the main result.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-023-01090-4