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.
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页码：391 / 405
页数：15
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