Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations

被引：1

作者：

Pituk, Mihaly ^{[1
]}

机构：

[1] Univ Pannonia, Dept Math, H-8200 Veszprem, Hungary

来源：

MATHEMATICS | 2020年 / 8卷 / 07期

关键词：

linear functional differential equation; nonnegative solution; small solution; characteristic equation; eigenfunction; decomposition theory; OSCILLATION; SYSTEM;

D O I：

10.3390/math8071098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that if we exclude the existence of nontrivial small solutions, then a linear autonomous functional differential equation has a nontrivial nonnegative solution if and only if it has a nonnegative eigenfunction.

引用

页数：8

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