具变号非线性项三阶多点边值问题的正解与多个正解  

EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY

作　　者：沈春芳[1] 杨刘[1] 解大鹏[1] 

机构地区：[1]合肥师范学院数学系,安徽合肥230601

出　　处：《数学杂志》2018年第2期317-324,共8页Journal of Mathematics

基　　金：国家自然科学基金(11201109);安徽省自然科学项目(1708085MA16);安徽省高校自然科学重点项目(KJ2017A937)

摘　　要：本文研究了一类非线性项变号的三阶常微分方程多点边值问题正解存在性问题.利用Banach空间锥上不动点定理及非线性泛函分析方法,获得了该问题正解的存在性结论.推广了已有文献的结果.In this paper, existence of third order differential equation with of positive solution of a kind of boundary value problem changing sign nonlinearity is considered. By using the fixed point theorem and nonlinear functional analysis established, which generalizes the existing literature. method, the existence of positive solution is

关 键 词：三阶多点边值问题 正解 锥 不动点 

分 类 号：O175.8[理学—数学]