On a boundary value problem for first-order scalar functional differential equations

被引：23

作者：

Hakl, R

Lomtatidze, A

Puza, B

机构：

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

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 53卷 / 3-4期

关键词：

boundary value problems; first-order scalar functional differential equations; existence and uniqueness of a solution;

D O I：

10.1016/S0362-546X(02)00305-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonimprovable effective sufficient conditions for solvability and unique solvability of the boundary value problem u'(t) = F(u)(t), u(a) = h(u), where F : C([a, b]; R) --> L([a, b]; R) is a continuous operator satisfying the Caratheodory condition and h : C([a, b]; R) --> R is a continuous functional, are established. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：391 / 405

页数：15

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