B. El-Matary, H. El-Morshedy, V. Benekas, I. Stavroulakis
{"title":"Oscillation conditions for difference equations with several variable delays","authors":"B. El-Matary, H. El-Morshedy, V. Benekas, I. Stavroulakis","doi":"10.7494/opmath.2023.43.6.789","DOIUrl":null,"url":null,"abstract":"A technique is developed to establish a new oscillation criterion for a first-order linear difference equation with several delays and non-negative coefficients. Our result improves recent oscillation criteria and covers the cases of monotone and non-monotone delays. Moreover, the paper is concluded with an illustrative example to show the applicability and strength of our result.","PeriodicalId":45563,"journal":{"name":"Opuscula Mathematica","volume":"1 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Opuscula Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7494/opmath.2023.43.6.789","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A technique is developed to establish a new oscillation criterion for a first-order linear difference equation with several delays and non-negative coefficients. Our result improves recent oscillation criteria and covers the cases of monotone and non-monotone delays. Moreover, the paper is concluded with an illustrative example to show the applicability and strength of our result.
Michal Horsák, Vendula Polášková, Marie Zhai, Jindřiška Bojková, Vít Syrovátka, Vanda Šorfová, Jana Schenková, Marek Polášek, Tomáš Peterka, Michal Hájek
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