<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder’s fixed point theorem. Moreover, we show that solutions of our problem are attractive. Finally, an example is given to validate the theory part.</p>
</abstract>

In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder’s fixed point theorem. Moreover, we show that solutions of our problem are attractive. Finally, an example is given to validate the theory part.

Existence and attractivity results on semi-infinite intervals for integrodifferential equations with non-instantaneous impulsions in Banach spaces

Djillali Liabes University of Sidi Bel-Abbès

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in...

Existence and attractivity results on semi-infinite intervals for integrodifferential equations with non-instantaneous impulsions in Banach spaces

Published Online: May 27, 2024

Page range: 65 - 84

Received: Oct 06, 2022

Accepted: Feb 07, 2023

DOI: https://doi.org/10.2478/auom-2024-0004

Keywords
Attractivity, fixed point theorem, integrodi erential equation, measures of noncompactness, mild solution, resolvent operator, impulses

© 2024 Abdelhamid Bensalem, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Existence and attractivity results on semi-infinite intervals for integrodifferential equations with non-instantaneous impulsions in Banach spaces

Published Online: May 27, 2024

Page range: 65 - 84

Received: Oct 06, 2022

Accepted: Feb 07, 2023

DOI: https://doi.org/10.2478/auom-2024-0004

KeywordsAttractivity, fixed point theorem, integrodi erential equation, measures of noncompactness, mild solution, resolvent operator, impulses

© 2024 Abdelhamid Bensalem, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Attractivity, fixed point theorem, integrodi erential equation, measures of noncompactness, mild solution, resolvent operator, impulses