Absence of Solutions for a System of Ordinary Differential Inequalities

被引：0
作者：
Li, Xiaohong [1 ]
Wan, Haitao [1 ]
Li, Xiliang [1 ]
机构：
[1] Shandong Technol & Business Univ, Sch Math & Informat Sci, Yantai 264000, Peoples R China
来源：
MATHEMATICAL NOTES | 2021年 / 109卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
system of ordinary differential inequalities; nonexistence Theorem; test function method; POSITIVE SOLUTIONS; LOCAL SOLUTIONS; NONEXISTENCE; EXISTENCE; EQUATIONS;
D O I：
10.1134/S0001434621030299
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove nonexistence theorems of nonnegative nontrivial solutions for a system of ordinary differential inequalities in bounded domains with singular points on the boundary. The proofs are based on the test function using a method developed by Mitidieri and Pohozaev. We also give the examples demonstrating that the conditions obtained are sharp in the case of the problem under consideration.
引用
收藏
页码：600 / 608
页数：9
相关论文
共 50 条
12345