Existence of Solutions to the Non-Self-Adjoint Sturm-Liouville Problem with Discontinuous Nonlinearity

被引：0

作者：

Baskov, O. V. ^{[1
]}

Potapov, D. K. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg 199034, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

Sturm-Liouville problem; non-self-adjoint differential operator; discontinuous nonlinearity; nontrivial solutions; 2ND-ORDER DIFFERENTIAL-EQUATION; BOUNDARY-VALUE PROBLEM;

D O I：

10.1134/S0965542524700489

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine the existence of solutions to the Sturm-Liouville problem with a non-self-adjoint differential operator and discontinuous nonlinearity in the phase variable. For positive values of the spectral parameter, theorems on the existence of nontrivial (positive and negative) solutions of the problem are proved. Examples illustrating the theorems are given.

引用

页码：1254 / 1260

页数：7

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