Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-05-20 DOI:10.1186/s13661-024-01871-1

Tetsutaro Shibata

引用次数: 0

Abstract

We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with convolutional Kirchhoff functions. We establish the exact solutions $u_{\lambda}$ and bifurcation curves $\lambda (\alpha )$ , where $\alpha := \Vert u_{\lambda}\Vert _{\infty}$ .

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具有卷积基尔霍夫函数的非局部椭圆方程的精确解和分岔曲线

我们研究了具有卷积基尔霍夫函数的基尔霍夫型一维非局部椭圆方程。我们建立了精确解 $u_{\lambda}$ 和分岔曲线 $\lambda (\alpha )$ ，其中 $\alpha := \Vert u_\{lambda}\Vert _{\infty}$ 。

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.