摘要
在四阶微分方程非线性项f中含有未知函数u的二阶导数u″的情况下,运用Avery-Peterson不动点定理,研究了一类四阶微分方程三点边值问题三个正解的存在性,得到了该类边值问题存在三个正解的充分条件.
By using Avery-Peterson fixed-point theorem, the existence of multiple positive solu- tions for a class of forth-order three-point boundary value problems is studied, and some sufficient conditions are obtained for the existence of triple positive solutions of the boundary value problems.
出处
《应用泛函分析学报》
CSCD
2014年第3期261-266,共6页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(11172125)
高等学校博士学科点专项科研基金(20133218110025)
