New Aspects on the Solvability of a Multidimensional Functional Integral Equation with Multivalued Feedback Control-Reference-Cited by-同舟云学术

New Aspects on the Solvability of a Multidimensional Functional Integral Equation with Multivalued Feedback Control

Published:2023-06-30 Issue:7 Volume:12 Page:653
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

El-Sayed Ahmed M. A.¹^ORCID,Hashem Hind H. G.¹^ORCID,Al-Issa Shorouk M.²³^ORCID

Affiliation:

1. Faculty of Science, Alexandria University, Alexandria 21544, Egypt

2. Faculty of Arts and Sciences, Department of Mathematics, The International University of Beirut, Beirut 1107, Lebanon

3. Faculty of Arts and Sciences, Department of Mathematics, Lebanese International University, Saida 1600, Lebanon

Abstract

The current study demonstrates the existence of solutions to a multidimensional functional integral equation with multivalued feedback. We seek solutions for the multidimensional functional problem that is defined, continuous, and bounded on the semi-infinite interval. Our proof is based on the technique associated with measures of noncompactness by a given modulus of continuity in the space in BC(R+). Also, some sufficient conditions are investigated to demonstrate the asymptotic stability of the solutions to that multidimensional functional equation. Additionally, we give an example and some particular cases to illustrate our outcomes.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/7/653/pdf

Reference38 articles.

1. Debnath, P., Konwar, N., and Stojan Radenović, S. (2021). Metric Fixed Point Theory: Applications in Science, Engineering and Behavioural Sciences, Springer.

2. An alternative and easy approach to fixed point results via simulation functions;Vetro;Demonstr. Math.,2017

3. Common fixed point theorems for a class of (s,q)-contractive mappings in b-metric-like spaces and applications to integral equations;Zoto;Math. Slovaca,2019

4. Nonlinear second-order multivalued boundary value problems;Papageorgiou;Proc. Indian Acad. Sci. (Math. Sci.),2003

5. Nonlinear multivalued boundary value problems, Discussiones Mathematicae Differential Inclusions;Bader;Control. Optim.,2001

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