CONDITIONS FOR THE SOLVABILITY OF THE CAUCHY PROBLEM FOR LINEAR FIRST-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Bravyi, E. I. ^{[1
]}

机构：

[1] State Natl Res Polytech Univ Perm, Perm, Russia

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2013年 / 66期

关键词：

Linear functional differential equations; Cauchy problem; conditions for the solvability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Conditions for the unique solvability of the Cauchy problem for a certain family of scalar functional differential equations are obtained. These conditions are sufficient for the solvability of the Cauchy problem for every equation from the given family. Moreover, obtained conditions are optimal an cannot be weakened. In contrast to many known articles, we consider equations with functional operators acting into the space of essentially bounded functions.

引用

页数：8

共 7 条

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