%0 Journal Article
%T 带有吸引型奇性的离散周期边值问题多重正解的存在性<br>Existence of Multiple PositiveSolutions for Discrete Periodic Boundary Value Problems with a Singularity of Attractive Type
%A 李雅琴
%A 路艳琼
%J Advances in Applied Mathematics
%P 217-233
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/AAM.2024.131025
%X 基于上下解方法和 Brouwer 度理论，获得如下边值问题<img src=\"Edit_994f73ad-c802-4932-aae3-efb32bcbaa1a.png\" alt=\"\" /> 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 &gt; 3为给定的整数，m，μ，是两个正常数，且0 &lt; m ≤1，s ∈ R是参数。<br />
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<img src=\"Edit_39cf7487-2efe-41ae-9fdb-73077c394308.png\" alt=\"\" /> where f : (0, +∞) → (0, +∞) is continuous, ？ : Z → R, r : Z → (0, ∞)  are  T -periodic functions, T &gt; 3 is a positive integer, m and μ are two positive constants  and 0 &lt; m ≤ 1, s ∈ R is a parameter.
%K 吸引型奇性，正解，Brouwer，度理论<br>Singularity of Attractive Type
%K Positive Solutions
%K Brouwer
%K Degree Theory
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=79413