On the Existence and Uniqueness of a Positive Solution to a Boundary-Value Problem of the Sturm–Liouville Type for a Nonlinear Ordinary Differential Equation

被引：0

作者：

G. È. Abduragimov ^{[1
]}

P. È. Abduragimova ^{[1
]}

M. M. Kuramagomedova ^{[1
]}

机构：

[1] Daghestan State University,

来源：

Journal of Mathematical Sciences | 2024年 / 285卷 / 3期

关键词：

cone; positive solution; operator fixed point; Green’s function;

D O I：

10.1007/s10958-024-07442-0

中图分类号：

学科分类号：

摘要：

Using the fixed point theorem in partially ordered sets, we obtain sufficient conditions for the existence of a unique positive solution to a boundary-value problem of the Sturm–Liouville type for a nonlinear ordinary differential equation, and give an example illustrating the results obtained.

引用

页码：295 / 300

页数：5

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