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.
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页数：9
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