Solvability of a nonlocal boundary value problem for linear functional differential equations

被引：0
|
作者：
Oplustil, Zdenek [1 ]
机构：
[1] Inst Math, Fac Mech Engn, Brno 61669, Czech Republic
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
functional differential equation; nonlocal boundary value problem; unique solvability; differential inequality;
D O I：
10.1186/1687-1847-2013-244
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, the problem on the existence and uniqueness of a solution to the nonlocal problem u'(t) = L(u)(t) + q(t), u(a) = h(u) + c is considered, where l : C([a,b]; R) -> L([a,b]; R) and h : C([a,b]; R) -> R are linear bounded operators, q is an element of L([a,b]; R), and c is an element of R.
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页数：22
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