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.
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页数：15
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