一类四阶奇异边值问题对称正解的最优存在性（英文）  

OPTIMAL EXISTENCE OF SYMMETRIC POSITIVE SOLUTIONS FOR A FOURTH-ORDER SINGULAR BOUNDARY VALUE PROBLEM

作　　者：张艳红[1] ZHANG Yan-hong(School of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China)

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《数学杂志》2016年第6期1209-1214,共6页Journal of Mathematics

基　　金：Supported by the Science and Technology Development Fund of Fuzhou University(2014-XQ-30)

摘　　要：本文研究了一类四阶奇异边值问题.通过建立一个特定的锥,利用Leggett-Williams不动点定理,从而在一定的条件下得到一类四阶奇异边值问题对称正解的最优存在性,推广了奇异边值问题对称正解的最优存在性的结果.In this paper,we study a fourth-order singular boundary value problem.Using the Leggett-Williams fixed point theorem together with constructing a special cone,we establish optimal existence of symmetric positive solutions for a fourth-order singular boundary value problem under certain conditions,which generalizes optimal existence of symmetric positive solutions to singular boundary value problem.

关 键 词：对称正解 边值问题 锥 

分 类 号：O175[理学—数学]