Asymptotic Properties of Nonoscillatory Solutions of Third-Order Delay Difference Equations

被引：2

作者：

Gleska, Alina ^{[1
]}

Migda, Malgorzata ^{[1
]}

机构：

[1] Poznan Univ Tech, Inst Math, Piotrowo 3A, PL-60965 Poznan, Poland

来源：

DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS | 2018年 / 230卷

关键词：

Third-order difference equation; Asymptotic behavior; Non-oscillation; Oscillation; OSCILLATION CRITERIA;

D O I：

10.1007/978-3-319-75647-9_27

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a third-order delay trinomial difference equation. We transform this equation to a binomial third-order difference equation with quasidifferences. Using comparison theorems with a certain first order delay difference equation we establish results on asymptotic properties of nonoscillatory solutions of the studied equation. We give an easily verifiable criterium which ensures that all nonoscillatory solutions tend to zero.

引用

页码：327 / 337

页数：11

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