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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:373

Article

Zhao, Zhiliang^1,2  Liang, Juhua² 

[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

关键词: Functional boundary value problems;    Resonance;    Coincidence degree theory;    Existence theorem;   

DOI  :  10.1016/j.jmaa.2010.08.011

来源: Elsevier

【 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.

【 授权许可】

Free