OSCILLATION TESTS FOR DIFFERENCE EQUATIONS WITH SEVERAL NON-MONOTONE DEVIATING ARGUMENTS

被引：7

作者：

Chatzarakis, George E. ^{[1
]}

Dmitrovic, Lana Horvat ^{[2
]}

Pasic, Mervan ^{[2
]}

机构：

[1] Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn Educ, 14121 N Heraklio, Athens, Greece

[2] Univ Zagreb, Fac Elect Engn & Comp, Unska 3, Zagreb 10000, Croatia

来源：

MATHEMATICA SLOVACA | 2018年 / 68卷 / 05期

关键词：

difference equation; non-monotone arguments; oscillatory solutions; nonoscillatory solutions; Gronwall inequality; DELAY; CRITERIA;

D O I：

10.1515/ms-2017-0170

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to derive sufficient conditions for the oscillation of all solutions of a difference equation with several non-monotone deviating arguments and nonnegative coefficients. Corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the significance of the results are also given. (C) 2018 Mathematical Institute Slovak Academy of Sciences

引用

页码：1083 / 1096

页数：14

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