非共振奇异超线性边值问题正解存在的充分必要条件  

A NECESSARY AND SUFFICIENT CONDIDTION FOR EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR SUPERLINEAR BOUNDARY VALUE PROBLEMS AT NONRESONANCE

作　　者：韦忠礼[1] 李秀珍[1] 

机构地区：[1]山东建筑工程学院数理系,济南250014

出　　处：《系统科学与数学》2004年第3期424-432,共9页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金数学天元基金(A0324616)资助课题.

摘　　要：本文研究非共振奇异超线性边值问题正解的存在性,利用锥上的不动点定理给出了非共振奇异超线性边值问题有C1[0,1]正解存在的充分必要条件.This paper studies the existence of positive solutions to the singular superlinear second order boundary value problem at nonresonance. A necessary and sufficient conditon for the existence of positive solutions in C1 [0,1] is given by means of the fixed point theorem on cones.

关 键 词：奇异超线性边值问题 正解 不动点定理 非共振 LEBESGUE控制收敛定理 非线性微分方程 

分 类 号：O175[理学—数学]