DIFFERENCE EQUATIONS WITH SEVERAL NON-MONOTONE DEVIATING ARGUMENTS: ITERATIVE OSCILLATION TESTS

被引：7

作者：

Chatzarakis, George E. ^{[1
]}

Jadlovska, Irena ^{[2
]}

机构：

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

[2] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math & Theoret Informat, Letna 9, Kosice 04200, Slovakia

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2018年 / 27卷 / 02期

关键词：

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

D O I：

10.12732/dsa.v27i2.5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is a study on the oscillatory behavior of the solutions of a difference equation with several non-monotone deviating arguments and nonnegative coefficients. New sufficient oscillation conditions involving lim sup are established using an iterative method. The conditions obtained by this method achieve a marked improvement on all known conditions, requiring at the same time far fewer iterations to determine whether all solutions of the considered equations oscillate, than the other known conditions. Examples, numerically solved in MATLAB, are provided to illustrate the results and the improvement achieved.

引用

页码：271 / 298

页数：28

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