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
DOI: 10.12677/AAM.2024.131025, PDF,    国家自然科学基金支持
作者: 李雅琴*, 路艳琼：西北师范大学数学与统计学院，甘肃 兰州
关键词: 吸引型奇性；正解；Brouwer；度理论；Singularity of Attractive Type； Positive Solutions； Brouwer； Degree Theory
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。
Abstract: 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.
文章引用：李雅琴, 路艳琼. 带有吸引型奇性的离散周期边值问题多重正解的存在性[J]. 应用数学进展, 2024, 13(1): 217-233. https://doi.org/10.12677/AAM.2024.131025

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