Multiple solutions for nonlinear Sturm-Liouville differential equations with possibly negative variable coefficients

被引：4

作者：

Amoroso, Eleonora ^{[1
]}

Bonanno, Gabriele ^{[1
]}

D'Agui, Giuseppina ^{[1
]}

Foti, Salvatore ^{[1
]}

机构：

[1] Univ Messina, Dept Engn, I-98166 Messina, Italy

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 69卷

关键词：

Critical point; Sturm-Liouville equations; Nonlinear differential problems;

D O I：

10.1016/j.nonrwa.2022.103730

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study a parameter-dependent nonlinear differential problem with Sturm-Liouville type equation and Dirichlet boundary conditions. In particular, by requiring a suitable behavior on the nonlinearity, we determine an interval of parameter lambda for which the problem admits three or infinitely many solutions. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：15

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