Optimal conditions of solvability of nonlocal problems for second-order ordinary differential equations

被引：8

作者：

Kiguradze, Ivan ^{[2
]}

Kiguradze, Tariel ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, 150 W Univ Blvd, Melbourne, FL 32901 USA

[2] A Razmadze Math Inst, Tbilisi, Georgia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 03期

基金：

美国国家科学基金会;

关键词：

Nonlinear; Second order; Singular differential equation; Nonlocal problem; Positive solution; BOUNDARY-VALUE-PROBLEMS;

D O I：

10.1016/j.na.2010.09.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the differential equation u '' = f (t, u) in regular as well as in singular cases there are established optimal sufficient conditions of existence for solutions satisfying nonlocal boundary conditions of the type integral(b)(a) u((i-1))(s)d phi(i)(s) = c(i) (i = 1, 2). (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：757 / 767

页数：11

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