ON SOLUTIONS DEFINED ON AN AXIS FOR DIFFERENTIAL EQUATIONS WITH SHIFTS OF THE ARGUMENT

被引：0

作者：

Chaikovs'kyi, A. V. ^{[1
]}

机构：

[1] Shevchenko Kyiv Natl Univ, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2012年 / 63卷 / 09期

关键词：

Banach Space; Bounded Domain; Nontrivial Solution; Linear Differential Equation; Homogeneous Equation;

D O I：

10.1007/s11253-012-0593-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider linear first-order differential equations with shifts of the argument for functions with values in a Banach space. Sufficient conditions for the existence of nontrivial solutions of homogeneous equations are obtained. Ordinary differential equations are constructed for which all solutions defined on the entire axis are solutions of a given equation with shifts of the argument.

引用

页码：1470 / 1477

页数：8

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