Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations

被引：20

作者：

Bravyi, E

Hakl, R

Lomtatidze, A

机构：

[1] Perm State Tech Univ, Dept Math Anal, Perm 614000, Russia

[2] Masaryk Univ, Dept Math Anal, Brno 66295, Czech Republic

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2002年 / 52卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

linear functional differential equations; Cauchy problem; existence and uniqueness; differential inequalities;

D O I：

10.1023/A:1021767411094

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nonimprovable, in a sense sufficient conditions guaranteeing the unique solvability of the problem u'(t) = l(u) (t) + q(t), u(a) = c, where l: C(I, R) --> L(I, R) is a linear bounded operator, q is an element of L(I, R), and c is an element of R, are established.

引用

页码：513 / 530

页数：18

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