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Mathematica Slovaca

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Volume 68, Issue 5

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Oscillation tests for difference equations with several non-monotone deviating arguments

George E. Chatzarakis
  • Department of Electrical and Electronic Engineering Educators School of Pedagogical and Technological Education (ASPETE) 14121, N. Heraklio Athens GREECE
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/ Lana Horvat Dmitrović / Mervan Pašić
Published Online: 2018-10-20 | DOI: https://doi.org/10.1515/ms-2017-0170

Abstract

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.

MSC 2010: 39A10; 39A21

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

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About the article

E-mail: gea.xatz@aspete.gr


Received: 2017-02-14

Accepted: 2017-10-10

Published Online: 2018-10-20

Published in Print: 2018-10-25


Communicated by Michal Fečkan


Citation Information: Mathematica Slovaca, Volume 68, Issue 5, Pages 1083–1096, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2017-0170.

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