摘要
本文利用上下解方法和不动点理论给出了负指数EmdenFowler方程奇异边值问题有C[0,1]和C1[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 negative exponent Emden Fowler equations. A necessary and sufficient condition for the existence of C positive solutions as well as C 1 positive solutions is given by means of the method of lower and upper solutions with the fixed point theorems.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1998年第3期655-662,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
山东建工学院博士基金
关键词
奇异边值问题
正解
充要条件
E-F方程
Singular boundary value problem, Positive solution, Lower and upper solutions