A CLASS OF SINGULAR FOURTH-ORDER THREE-POINT BOUNDARY VALUE PROBLEMS

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2010,（4）
• 页码范围: 477-483
• 页数: 7页
• 分类号: O17

摘要

This paper studies the existence of nontrivial solution to a nonlinear fourthorder three-point boundary value problem, where the nonlinear term is a strong Carathodory function and contains all order derivatives of unknown function. By introducing a height function of nonlinear term on some bounded set and considering the integration of the height function, some existence results are obtained.