{"title":"On Entire Solutions of Two Certain Types of Non-Linear Differential-Difference Equations","authors":"Jingjing Li, Z. Huang","doi":"10.1051/wujns/2022273195","DOIUrl":null,"url":null,"abstract":"In this paper, we mainly investigate entire solutions of the following two non-linear differential-difference equations [see formula in PDF] and [see formula in PDF][see formula in PDF], where [see formula in PDF] is an integer, [see formula in PDF] are non-zero constants, [see formula in PDF] is a non-vanishing polynomial and [see formula in PDF] is a non-constant polynomial. Under some additional hypotheses, we analyze the existence and expressions of transcendental entire solutions of the above equations.","PeriodicalId":56925,"journal":{"name":"","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.1051/wujns/2022273195","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 mainly investigate entire solutions of the following two non-linear differential-difference equations [see formula in PDF] and [see formula in PDF][see formula in PDF], where [see formula in PDF] is an integer, [see formula in PDF] are non-zero constants, [see formula in PDF] is a non-vanishing polynomial and [see formula in PDF] is a non-constant polynomial. Under some additional hypotheses, we analyze the existence and expressions of transcendental entire solutions of the above equations.
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