一类带有变号权函数的二阶差分方程Dirichlet边值问题正解的存在性

Existence of positive solutions for a class of second-order difference equation Dirichlet boundary problems with sign-changing weight function

作者：张亚莉(西北师范大学数学与统计学院)

Author：Zhang Ya-Li(College of Mathematics and Statistics, Northwest Normal University)

收稿日期：2019-03-30 年卷（期）页码：2020,57(3):455-458

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：差分方程; 变号权函数; Leray-Schauder不动点定理; 正解

Key words：Difference equation; Sign-changing weight function; Leray-Schauder fixed point theorem; Positive solution

基金项目：国家自然科学基金(11671322)

中文摘要

本文研究了一类非线性二阶差分方程Dirichlet边值问题正解的存在性,主要结果的证明基于Leray-Schauder不动点定理.

英文摘要

In this paper, we study the existence of positive solutions for a class of nonlinear second-order difference equation Dirichlet boundary problems. The proofs of the main results are based on the Leray-Schauder fixed point theorem.

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论文摘要

一类带有变号权函数的二阶差分方程Dirichlet边值问题正解的存在性

Existence of positive solutions for a class of second-order difference equation Dirichlet boundary problems with sign-changing weight function