Nonlocal Boundary Value Problem for Strongly Singular Higher-Order Linear Functional-Differential Equations

被引：0

作者：

Mukhigulashvili, Sulkhan ^{[1
,2
]}

机构：

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

[2] Ilia State Univ, Fac Math & Phys, GE-0179 Tbilisi, Georgia

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2013年 / 33期

基金：

美国国家科学基金会;

关键词：

Higher order linear differential equation; nonlocal boundary conditions; deviating argument; strong singularity; Fredholm property;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For strongly singular higher-order differential equations with deviating arguments, under nonlocal boundary conditions, Agarwal-Kiguradze type theorems are established, which guarantee the presence of the Fredholm property for the problems considered. We also provide easily verifiable conditions that guarantee the existence of a unique solution of the problem.

引用

页码：1 / 38

页数：38

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