Existence of solutions to functional boundary value problem of second-order nonlinear differential equation

被引：26

作者：

Zhao, Zhiliang ^{[1
,2
]}

Liang, Juhua ^{[2
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

[2] Zhoukou Normal Univ, Dept Math, Zhoukou 466001, Henan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 373卷 / 02期

关键词：

Functional boundary value problems; Resonance; Coincidence degree theory; Existence theorem; EXTREMAL SOLUTIONS; RESONANCE; SOLVABILITY;

D O I：

10.1016/j.jmaa.2010.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a functional boundary value problem is studied. Based on Mawhin's coincidence degree theory, some existence theorems are obtained in the case of non-resonance and the cases of dim Ker L = 1 and dim Ker L = 2 at resonance. The results not only generalize and improve some known results of multi-point and integral boundary value problems, but also give some existence theorems for boundary value problems that all their boundary value conditions are relied on both x and x'. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：614 / 634

页数：21

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