On the positive invertibility of a differential operator on a graph

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2024-07-29 DOI:10.1080/00036811.2024.2384536

Ruslan Kulaev, Soslan Karkuzaev

引用次数: 0

Abstract

In this article, we study a fourth-order differential operator Lλ on a graph, depending on a real parameter λ. The operator Lλ is connected with a model of the Euler–Bernoulli beam system. Our cons...

查看原文本刊更多论文

论图上微分算子的正可逆性

在这篇文章中，我们研究了一个图上的四阶微分算子 Lλ，它取决于一个实数参数 λ。我们的共识是...

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.