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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, PP. 217-233

Keywords: 吸引型奇性,正解,Brouwer,度理论
Singularity of Attractive Type
, Positive Solutions, Brouwer, Degree Theory

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Abstract:

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,? : 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, ? : 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.

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