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.
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收藏
页数：8
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