Two-Point Boundary Value Problems For Strongly Singular Higher-Order Linear Differential Equations With Deviating Arguments

被引：0

作者：

Mukhigulashvili, Sulkhan ^{[1
,2
]}

Partsvania, Nino ^{[3
,4
]}

机构：

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

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

[3] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, GE-0186 Tbilisi, Georgia

[4] Int Black Sea Univ, GE-0131 Tbilisi, Georgia

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 38期

基金：

美国国家科学基金会;

关键词：

Higher order differential equation; linear; deviating argument; strong singularity; Fredholm's 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 equation with deviating arguments, under two-point conjugated and right-focal boundary conditions, Agarwal-Kiguradze type theorems are established, which guarantee the presence of Fredholm's property for the above mentioned problems. Also we provide easily verifiable best possible conditions that guarantee the existence of a unique solution of the studied problems.

引用

页码：1 / 34

页数：34

共 22 条

[1] Two-point boundary value problems for higher-order linear differential equations with strong singularities [J].

Agarwal, R. P. ;

Kiguradze, I. .

BOUNDARY VALUE PROBLEMS, 2006, 2006 (1)

[2]

Agarwal R.P., 1998, MATH APPL, V436, DOI 10.1007/978-94-017-1568-3

[3]

[Anonymous], MEM DIFFERE IN PRESS

[4]

[Anonymous], 1994, GEORGIAN MATH J

[5]

[Anonymous], 2003, FUNCT DIFFER EQU

[6]

[Anonymous], GEORGIAN MATH J

[7]

[Anonymous], 2000, MEM DIFFER EQU MATH

[8]

[Anonymous], 1993, MATH ITS APPL

[9]

[Anonymous], DIFFERENTIALNYE URAV

[10]

[Anonymous], 1970, ANN MAT PUR APPL

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