Existence of Positive Solutions for Nonlinear Conjugate Boundary Value Problems

作     者：菅典兵 董正华 JIAN Dianbing;Dong Zhenghua

作者机构：商丘师范学院计算机科学系河南商丘476000 商丘师范学院数学系河南商丘476000 

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

年 卷 期：2002年第17卷第2期

页      面：87-93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：existence theorem positive solutions conjugate boundary value problem 

摘      要：The present paper is concerned with the existence of positive solutions of the (k,n-k) conjugate boundary value problems(-1) n-k u (h) (t)=λa(t)f(u(t)),t∈(0,1), u (i) (0)=0,0≤i≤k-1, u (j) (0)=0,0≤j≤n-k-1,where λ is a positive parmeter. Krasnoselsii’s fixed point theorem is employed to obtain the existence criteria for positive solution.