G. Ayyappan, G. Chatzarakis, Thaniarasu Kumar, E. Thandapani
{"title":"三阶半非正则非线性时滞差分方程的振荡性质","authors":"G. Ayyappan, G. Chatzarakis, Thaniarasu Kumar, E. Thandapani","doi":"10.21136/mb.2022.0036-21","DOIUrl":null,"url":null,"abstract":"We study the oscillatory properties of the solutions of the third-order nonlinear semi-noncanonical delay difference equation D3y(n) + f(n)y (σ(n)) = 0, where D3y(n) = ∆(b(n)∆(a(n)(∆y(n)) )) is studied. The main idea is to transform the semi-noncanonical operator into canonical form. Then we obtain new oscillation theorems for the studied equation. Examples are provided to illustrate the importance of the main results.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2022-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations\",\"authors\":\"G. Ayyappan, G. Chatzarakis, Thaniarasu Kumar, E. Thandapani\",\"doi\":\"10.21136/mb.2022.0036-21\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the oscillatory properties of the solutions of the third-order nonlinear semi-noncanonical delay difference equation D3y(n) + f(n)y (σ(n)) = 0, where D3y(n) = ∆(b(n)∆(a(n)(∆y(n)) )) is studied. The main idea is to transform the semi-noncanonical operator into canonical form. Then we obtain new oscillation theorems for the studied equation. Examples are provided to illustrate the importance of the main results.\",\"PeriodicalId\":45392,\"journal\":{\"name\":\"Mathematica Bohemica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-03-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Bohemica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21136/mb.2022.0036-21\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Bohemica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21136/mb.2022.0036-21","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations
We study the oscillatory properties of the solutions of the third-order nonlinear semi-noncanonical delay difference equation D3y(n) + f(n)y (σ(n)) = 0, where D3y(n) = ∆(b(n)∆(a(n)(∆y(n)) )) is studied. The main idea is to transform the semi-noncanonical operator into canonical form. Then we obtain new oscillation theorems for the studied equation. Examples are provided to illustrate the importance of the main results.
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