A necessary and sufficient condition for the oscillation of first order linear difference equations with several delay arguments

被引：1

作者：

Wu, Hongwu ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 369卷

基金：

中国国家自然科学基金;

关键词：

Oscillation; Non-oscillation; Difference equations; Several delay arguments; CRITERIA; TESTS;

D O I：

10.1016/j.amc.2019.124859

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we discuss the oscillation of all solutions of a first order linear delay difference equation with several delay arguments and obtain some new oscillation criteria under more relaxed conditions. In particular, we establish a necessary and sufficient condition only based on the coefficient functions and delay arguments when the coefficient functions are non-negative. Examples and tables are given to illustrate our results. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：9

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