一类奇异边值问题正解存在的充分必要条件  

A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR BOUNDARY VALUE PROBLEMS

作　　者：徐玉梅[1] 刘立山[1] 张海军[1] 

机构地区：[1]曲阜师范大学数学系,曲阜273165

出　　处：《系统科学与数学》2005年第5期599-607,共9页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10471075)山东省自然科学基金(Y2003A01;02BS119)资助课题.

摘　　要：研究一类奇异边值问题解的存在性及解的迭代,得到C[0,1]正解和C1[0,1]正解存在的充分必要条件,从本质上改进和推广了赵增勤1998年的工作．This paper studies the existence of positive solutions of some singular sublinear boundary value problem. A necessary and sufficient condition for the existence of C[0, 1] positive solutions as well as C^1 [0, 1] positive solutions is obtained. Our results are the generalizations and improvements of Zhao＇s results in essence.

关 键 词：奇异边值问题 正解 充分必要条件 迭代 存在性 

分 类 号：O175.8[理学—数学]