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

被引:0
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作者
Saïda Cherfaoui
Svetlin Georgiev Georgiev
Arezki Kheloufi
Karima Mebarki
机构
[1] École supérieure en Sciences et Technologies de l’Informatique et du Numérique,Department of Differential Equations, Faculty of Mathematics and Informatics
[2] University of Sofia,Laboratory of Applied Mathematics
[3] Bejaia University,Laboratory of Applied Mathematics, Faculty of Exact Sciences
[4] Bejaia University,undefined
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35R12; 47H10; 47J35; 35A01;
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摘要
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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页码:573 / 585
页数:12
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