On Cauchy problem for first order nonlinear functional differential equations of non-Volterra's type

被引：11

作者：

Bravyi, E

Hakl, R

Lomtatidze, A

机构：

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

[2] Acad Sci Czech Republ, Inst Math, Brno 61662, Czech Republic

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

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2002年 / 52卷 / 04期

关键词：

nonlinear functional differential equation; initial value problem; non-Volterra's type operator;

D O I：

10.1023/B:CMAJ.0000027223.33906.f6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the segment I [a, b] consider the problem u'(t) = f (u) (t), u(a) = c, where f: C(I,R) --> L(I,R) is a continuous, in general nonlinear. operator satisfying Caratheodory condition, and c is an element of R. The effective sufficient conditions guaranteeing the solvability and unique solvability of the considered problem are established. Examples 1 verifying the optimality of obtained results are given, as well.

引用

页码：673 / 690

页数：18

共 24 条

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[2]

Bernfeld S., 1974, INTRO NONLINEAR BOUN

[3]

BLAZ J, 1964, ANN POL MATH, V15, P9

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