On the Existence of Positive Solution for n OrderSingular Boundary Value Problems

作     者：Shi Guoliang (Jinan School of Petrochemical Economy,Shandong,Jinan,250101) 

作者机构：济南石化经济学校 山东 济南 250101 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：1998年第13卷第3期

页      面：68-73,页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：singular BVP superlinear sublinear positive solution cone 

摘      要：In this paper,we consider the high order singular boundary value problems: u (n) (t)+a(t)f(u(t))=0, 00,t∈(0,1). a(t) may be singular at t=0,t=1. f(u)∈c[0,+∞) and f(u)0. n is positive integer and n2. When f(u) satisfies the superlinear and sublinear conditions,we give the sufficient conditions to the existence of the positive solution.