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.

引用

页数：22

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