带有吸引型奇性的离散周期边值问题多重正解的存在性  

Existence of Multiple PositiveSolutions for Discrete Periodic Boundary Value Problems with a Singularity of Attractive Type

作　　者：李雅琴 路艳琼 

机构地区：[1]西北师范大学数学与统计学院,甘肃 兰州

出　　处：《应用数学进展》2024年第1期217-233,共17页Advances in Applied Mathematics

摘　　要：基于上下解方法和 Brouwer 度理论,获得如下边值问题 多重正解的存在性,其中 f : (0, +∞) → (0, +∞) 连续,ϕ : Z→ R和r : Z → (0, +∞)为T-周期函数,T > 3为给定的整数,m,µ,是两个正常数,且0 < m ≤1,s ∈ R是参数。Based on the upper and lower solution method and Brouwer degree theory, we es- tablish the existence of multiple positive solutions for the following boundary value problems where f : (0, +∞) → (0, +∞) is continuous, ϕ : Z → R, r : Z → (0, ∞) are T -periodic functions, T > 3 is a positive integer, m and µ are two positive constants and 0 < m ≤ 1, s ∈ R is a parameter.

关 键 词：吸引型奇性 正解 Brouwer 度理论 

分 类 号：O17[理学—数学]