一类非线性四阶离散边值问题正解的存在性  

Existence of positive solutions for a class of nonlinear fourth-order discrete boundary value problem

作　　者：赵亚丽 陈天兰 ZHAO Yali;CHEN Tianlan(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《厦门大学学报（自然科学版）》2023年第3期468-472,共5页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金(11801453,11901464);甘肃省青年科技基金计划项目(20JR10RA100,21JR1 RA230);甘肃省高等学校创新能力提升项目(2021A-006).

摘　　要：在f满足超线性或次线性的条件下,通过运用锥上的不动点定理讨论非线性四阶离散边值问题正解的存在性,建立相应线性问题的格林函数并获得其性质.In this paper,under the condition of superlinear or sublinear f,by using the fixed point theorem in cones,we discuss the existence of positive solutions for the fourth-order discrete boundary value problem.The Green s function for the associated linear boundary value problem are constructed and its properties are obtained.

关 键 词：四阶离散问题 正解 锥 不动点定理 

分 类 号：O175.7[理学—数学]