涉及可能有负系数的 Sturm-Liouville 微分方程的混合边界值问题

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-03-28 DOI:10.1186/s13661-024-01848-0

Gabriele Bonanno, Giuseppina D’Aguì, Valeria Morabito

引用次数: 0

摘要

本文致力于研究完全 Sturm-Liouville 方程的混合边界值问题，其中系数也可以为负。特别是，通过使用临界点理论，得到了给定问题存在无限多个不同正解的情况。

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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Mixed boundary value problems involving Sturm–Liouville differential equations with possibly negative coefficients

This paper is devoted to the study of a mixed boundary value problem for a complete Sturm–Liouville equation, where the coefficients can also be negative. In particular, the existence of infinitely many distinct positive solutions to the given problem is obtained by using critical point theory.

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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.