<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

Publié en ligne: 27 mai 2024

Pages: 65 - 84

Reçu: 06 oct. 2022

Accepté: 07 févr. 2023

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

Mots clés
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

Publié en ligne: 27 mai 2024

Pages: 65 - 84

Reçu: 06 oct. 2022

Accepté: 07 févr. 2023

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

Mots clésAttractivity, 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.

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