Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-03-08 DOI:10.1186/s13661-024-01843-5

Salah Boulaaras, Rashid Jan, Abdelbaki Choucha, Aderrahmane Zaraï, Mourad Benzahi

引用次数: 0

Abstract

We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms (elastic membrane equation). Under appropriate hypotheses, we establish the occurrence of solution blow-up.

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具有分布式延迟和对数非线性的弹性膜方程解的膨胀和寿命

我们研究了一个具有非线性粘弹性特性的基尔霍夫型方程，其特点是分布式延迟、对数非线性和 Balakrishnan-Taylor 阻尼项（弹性膜方程）。在适当的假设条件下，我们确定了解爆炸的发生。

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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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.