摘要
本文利用上下解方法和极大值原理给出了四阶微分方程的奇异边值问题有C2[0，1]和C3[0，1]正解存在的充分必要条件.
This paper investigates the existence of positive solutions of singular boundary value problems of fourth order differential equations. A necessary and sufficientcondition for the existence of C2[0, 1] positive solutions as well as C3[0, 1] positive solutions is given by means of the method of lower and upper solutions with the maximumprinciple.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1999年第4期715-722,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金
山东省自然科学基金青年基金
关键词
奇异边值
正解
极大值原理
微分方程
Singular boundary value problem, Positive solution, Iower and upper solutions, Maximum principle
