{"title":"The entire solutions of some binomial difference equations","authors":"Zhuo Wang, Qingcai Zhang","doi":"10.1007/s13398-024-01641-9","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we obtain the difference analogue of some binomial differential equations and obtain some new difference equations which is associated with generalized Fermat type difference equations. The purpose of this paper is to show that the explicit forms and properties for the entire solutions of some non-linear binomial difference equations. Moreover, the solutions of the constant coefficient difference equation systems have also been studied.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"86 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s13398-024-01641-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we obtain the difference analogue of some binomial differential equations and obtain some new difference equations which is associated with generalized Fermat type difference equations. The purpose of this paper is to show that the explicit forms and properties for the entire solutions of some non-linear binomial difference equations. Moreover, the solutions of the constant coefficient difference equation systems have also been studied.
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