System of Neutral Functional Integro-differential Evolution Equations with Instantaneous and Non-Instantaneous Impulses
Applicable Nonlinear Analysis, Volume 4, Issue 1, April 2027, Pages: 29–53
Abdelhamid Bensalem
Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb`es, P.O. Box 89, Sidi Bel-Abb`es 22000, Algeria
Abdelkrim Salim
Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb`es, P.O. Box 89, Sidi Bel-Abb`es 22000, Algeria
Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria
Mouffak Benchohra
Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb`es, P.O. Box 89, Sidi Bel-Abb`es 22000, Algeria
Cemil Tun
School of Engineering and Natural Sciences, Istanbul Medipol University, 34810, Istanbul, Turkey
Abstract
In this paper, we investigate the existence of solutions for a system of impulsive functional integro-differential evolution equations with state-dependent delay on infinite intervals via resolvent operators in the sense of Grimmer. Our analysis is based on fixed point theorem with measures of noncompactness combined with a vector approach that uses matrices that converge to zero which was given in generalized Banach space. Moreover, an illustrative example is considered to support our new results.
Cite this Article as
Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, and Cemil Tun, System of Neutral Functional Integro-differential Evolution Equations with Instantaneous and Non-Instantaneous Impulses, Applicable Nonlinear Analysis, 4(1), 29–53, 2027