一类2n阶超线性奇异边值问题正解的存在性  

The Existence of Positive Solutions of a Class of Singular Super-linear Boundary Value Problems of 2n Order Differential Equations

作　　者：郭荣[1] 唐义立[1] 朱永芳[1] 

机构地区：[1]安徽大学数学科学学院,合肥230039

出　　处：《重庆工商大学学报（自然科学版）》2012年第7期16-22,共7页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：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.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.

关 键 词：超线性 奇异边值问题 锥压缩和锥拉伸不动点定理 

分 类 号：O177.91[理学—数学]