Discontinuity, Nonlinearity, and Complexity 15(3) (2026) 341--352 | DOI:10.5890/DNC.2026.09.004

Sara Mokhtari$^1$, Zohra Bouteffal$^2$, Abdelkrim Salim$^{3,4}$, Mouffak Benchohra$^3$

$^1$ Faculty of Technology, Djillali Liabes University, P.O. Box 151 Sidi Bel Abbés 22000, Algeria

$^2$ Ecole Supérieure en Informatique, 8 Mai 1945, Sidi Bel-Abbès 22000, Algérie

$^3$ Laboratory of Mathematics, Djillali Liabes University, P.O. Box 89, Sidi Bel-Abbes 22000, Algeria

$^4$ Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria

Abstract

This paper tackles some existence results for semilinear integro-differential equations with non-instantaneous impulsions on a finite interval via resolvent operators. Our criteria, obtained by applying a new fixed point theorem with respect to Meir-Keeler condensing operators. The obtained result is illustrated by an example at the end.

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