Upper and lower solutions method for a class of second-order coupled systems

被引：2

作者：

Yu, Zelong ^{[1
]}

Bai, Zhanbing ^{[1
]}

Shang, Suiming ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2024年 / 2024卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Coupled system; Lower and upper solutions; Degree theory; EXISTENCE;

D O I：

10.1186/s13661-024-01837-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper provides a class of upper and lower solution definitions for second-order coupled systems by transforming the fourth-order differential equation into a second-order differential system. Then, by constructing a homotopy parameter and utilizing the maximum principle, we propose an upper and lower solutions method for studying a class of second-order coupled systems with Dirichlet boundary conditions and obtain an existence result.

引用

页数：8

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