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

页码：600 / 608

页数：9

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