Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses-Reference-Cited by-同舟云学术

Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

Published:2023-03-30 Issue:7 Volume:11 Page:1667
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Bensalem Abdelhamid¹,Salim Abdelkrim¹²^ORCID,Benchohra Mouffak¹^ORCID,Fečkan Michal³⁴^ORCID

Affiliation:

1. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria

2. Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151, Chlef 02000, Algeria

3. Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia

4. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia

Abstract

In this manuscript, we investigate the issue of approximate controllability for a certain class of abstract neutral integro-differential equations having non-instantaneous impulsions and being subject to state-dependent delay. Our methodology relies on the utilization of resolvent operators in conjunction with Darbo’s fixed point theorem. To exemplify the practical implications of our findings, we provide an illustration.

Funder

Slovak Research and Development Agency

Ministry of Education, Science, Research and Sport of the Slovak Republic

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/7/1667/pdf

Reference34 articles.

1. Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces;Mahmudov;SIAM J. Control Optim.,2003

2. Controllability of fractional integro-differential equations with infinite delay and non-instantaneous impulses;Benkhettou;Appl. Anal. Optim.,2022

3. Benchohra, M., Bouazzaoui, F., Karapınar, E., and Salim, A. (2022). Controllability of second order functional random differential equations with delay. Mathematics., 10.

4. Controllability of non-linear systems with distributed delays in control;Klamka;Int. J. Cont.,1978

5. Controllability of fractional integrodifferential systems in Banach spaces;Balachandran;Nonlinear Anal. Hybrid Syst.,2009

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