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

Autor: Saïda Cherfaoui, Svetlin Georgiev Georgiev, Arezki Kheloufi, Karima Mebarki
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Arabian Journal of Mathematics, Vol 12, Iss 3, Pp 573-585 (2023)
Druh dokumentu: article
ISSN: 2193-5343
2193-5351
DOI: 10.1007/s40065-022-00415-8
Popis: 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.
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