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298748

New discussion on global existence and attractivity of mild solutions for nonautonomous integrodifferential equations with state-dependent delay

Article

Last updated: 29 Dec 2024

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Tags

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Abstract

As a result of their adaptability, the functional integrodifferential equations can be utilized in a wide variety of research and engineering subspecialties. In this paper, we study a class of functional integrodifferential equations with state-dependent delay in Banach spaces. We begin by investigating the global existence of mild solutions for this class of functional integrodifferential equations in Banach spaces. These equations have a state-dependent delay. The linear component of these equations is dependent on time and generates a linear evolution system. Using the resolvent operator theory in the sense of Grimmer's fixed point technique, a new set of sufficient conditions is formulated and proven for the global existence of mild solutions for the functional integrodifferential equation with state-dependent delay. In the next part of this investigation, we are going to look into the attractivity of mild solutions for functional integrodifferential equations with state-dependent delay. An example is given in order to illustrate the theory that was obtained. Some well-known results are generalized and extended.

DOI

10.21608/ejmaa.2023.298748

Keywords

Evolution system, Resolvent operator, Infinte delay

Authors

First Name

Mamadou

Last Name

Diop

MiddleName

Abdoul

Affiliation

Department of Mathematics Gaston Berger University

Email

ordydiop@gmail.com

City

-

Orcid

-

First Name

Abdoul

Last Name

Ndiaye

MiddleName

Aziz

Affiliation

Department of Mathematics Gaston Berger University Senegal

Email

ndiaye.abdoul-aziz5@ugb.edu.sn

City

Saint-Louis

Orcid

-

First Name

Mbarack

Last Name

Fall

MiddleName

-

Affiliation

Department of Mathematics Gaston Berger University Senegal

Email

fall.mbarack@ugb.edu.sn

City

-

Orcid

-

First Name

Mariama

Last Name

Traore

MiddleName

B

Affiliation

Department of Mathematics University of Bamako Mali

Email

traoremariam34@yahoo.fr

City

Bamako

Orcid

-

Volume

11

Article Issue

2

Related Issue

39572

Issue Date

2023-07-01

Receive Date

2023-02-19

Publish Date

2023-07-01

Page Start

1

Page End

16

Print ISSN

3009-6731

Online ISSN

2090-729X

Link

https://ejmaa.journals.ekb.eg/article_298748.html

Detail API

https://ejmaa.journals.ekb.eg/service?article_code=298748

Order

298,748

Type

Reviews

Type Code

2,652

Publication Type

Journal

Publication Title

Electronic Journal of Mathematical Analysis and Applications

Publication Link

https://ejmaa.journals.ekb.eg/

MainTitle

New discussion on global existence and attractivity of mild solutions for nonautonomous integrodifferential equations with state-dependent delay

Details

Type

Article

Created At

18 Dec 2024