Positive solutions of third-order nonlocal boundary value problems at resonance

Boundary value problems

Hai-E Zhang²  Jian-Ping Sun³ 

[1] Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, People’Department of Basic Teaching, Tangshan College, Tangshan, People’s Republic of China

关键词: third-order;    nonlocal;    at resonance;    positive solution;   

DOI  :  10.1186/1687-2770-2012-102

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the existence of positive solutions for a class of third-order nonlocal boundary value problems at resonance. Our results are based on the Leggett-Williams norm-type theorem, which is due to O’Regan and Zima. An example is also included to illustrate the main results. MSC:34B10, 34B15.

【 授权许可】

CC BY