Existence of classical solutions for a class of nonlinear impulsive evolution partial differential equations

Saïda Cherfaoui; Svetlin Georgiev Georgiev; Arezki Kheloufi; Karima Mebarki

doi:10.1007/s40065-022-00415-8

Arabian Journal of Mathematics (Jan 2023)

Existence of classical solutions for a class of nonlinear impulsive evolution partial differential equations

Saïda Cherfaoui,
Svetlin Georgiev Georgiev,
Arezki Kheloufi,
Karima Mebarki

Affiliations

Saïda Cherfaoui: École supérieure en Sciences et Technologies de l’Informatique et du Numérique
Svetlin Georgiev Georgiev: Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia
Arezki Kheloufi: Laboratory of Applied Mathematics, Bejaia University
Karima Mebarki: Laboratory of Applied Mathematics, Faculty of Exact Sciences, Bejaia University

DOI: https://doi.org/10.1007/s40065-022-00415-8
Journal volume & issue: Vol. 12, no. 3
pp. 573 – 585

Abstract

Read online

Abstract This paper is devoted to the study of a class of impulsive nonlinear evolution partial differential equations. We give new results about existence and multiplicity of global classical solutions. The method used is based on the use of fixed points for the sum of two operators. Our main results will be illustrated by an application to an impulsive Burgers equation.

Published in Arabian Journal of Mathematics

ISSN: 2193-5343 (Print); 2193-5351 (Online)
Publisher: SpringerOpen
Country of publisher: Germany
LCC subjects: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics
Website: http://www.springer.com/40065

About the journal

Abstract

Keywords