一类非线性脉冲演化偏微分方程经典解的存在性

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2023-01-12 DOI:10.1007/s40065-022-00415-8

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

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引用次数: 0

摘要

本文研究了一类脉冲非线性发展偏微分方程。我们给出了关于全局经典解的存在性和多重性的新结果。所使用的方法是基于对两个运算符的和使用不动点。我们的主要结果将通过应用于脉冲Burgers方程来说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.