重庆工商大学学报:自然科学版
重慶工商大學學報:自然科學版
중경공상대학학보:자연과학판
Journal of Chongqing Technology and Business University:Natural Science Edition
2012年
7期
16-22
,共7页
超线性%奇异边值问题%锥压缩和锥拉伸不动点定理
超線性%奇異邊值問題%錐壓縮和錐拉伸不動點定理
초선성%기이변치문제%추압축화추랍신불동점정리
super-linear%singular boundary value problem%a fixed point theorem of cone expansion and cone compression
利用锥压缩和锥拉伸不动点定理,得到一类高阶超线性奇异边值问题的C2n-2[0,1]和C2n-1[0,1]正解存在的充分条件.
利用錐壓縮和錐拉伸不動點定理,得到一類高階超線性奇異邊值問題的C2n-2[0,1]和C2n-1[0,1]正解存在的充分條件.
이용추압축화추랍신불동점정리,득도일류고계초선성기이변치문제적C2n-2[0,1]화C2n-1[0,1]정해존재적충분조건.
Sufficient conditions for the existence of C2n-2 [0, 1 ] positive solutions as well as c2n-1[ 0, 1 ] positive solutions of a class of singular super-linear boundary value problem of higher order differential equations are obtained by using a fixed point theorem of cone expansion and cone compression of norm type.