摘要
本文利用锥压缩和锥拉伸不动点定理,给出了四阶微分方程奇异边值问题两 个C2[0,1]和C3[0,1]正解的存在性.
The existence of two C2[0,1] positive solutions as well as C3[0,1] positive solutions is established for a singular boundary value problem of fourth order differential equations by using the fixed point theorems of cone expansion and cone compression of norm type.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2003年第2期403-410,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(10071043)
山东省自然科学基金资助项目(Y2000A06)
关键词
存在性
四阶奇异边值问题
正解
不动点定理
Fourth order singular boundary value problem
Two positive solutions
Fixed point theorems of cone expansion and cone compression
