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
收藏
页码：513 / 530
页数：18
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