{"title":"一类非线性差分微分方程的亚纯解","authors":"S. Majumder, L. Mahato","doi":"10.21136/mb.2022.0186-20","DOIUrl":null,"url":null,"abstract":". The main objective of this paper is to give the specific forms of the meromorphic solutions of the nonlinear difference-differential equation where P d ( z, f ) is a difference-differential polynomial in f ( z ) of degree d 6 n − 1 with small functions of f ( z ) as its coefficients, p 1 , p 2 are nonzero rational functions and α 1 , α 2 are non-constant polynomials. More precisely, we find out the conditions for ensuring the existence of meromorphic solutions of the above equation.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the meromorphic solutions of a certain type of nonlinear difference-differential equation\",\"authors\":\"S. Majumder, L. Mahato\",\"doi\":\"10.21136/mb.2022.0186-20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The main objective of this paper is to give the specific forms of the meromorphic solutions of the nonlinear difference-differential equation where P d ( z, f ) is a difference-differential polynomial in f ( z ) of degree d 6 n − 1 with small functions of f ( z ) as its coefficients, p 1 , p 2 are nonzero rational functions and α 1 , α 2 are non-constant polynomials. More precisely, we find out the conditions for ensuring the existence of meromorphic solutions of the above equation.\",\"PeriodicalId\":45392,\"journal\":{\"name\":\"Mathematica Bohemica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-03-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Bohemica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21136/mb.2022.0186-20\",\"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.2022.0186-20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the meromorphic solutions of a certain type of nonlinear difference-differential equation
. The main objective of this paper is to give the specific forms of the meromorphic solutions of the nonlinear difference-differential equation where P d ( z, f ) is a difference-differential polynomial in f ( z ) of degree d 6 n − 1 with small functions of f ( z ) as its coefficients, p 1 , p 2 are nonzero rational functions and α 1 , α 2 are non-constant polynomials. More precisely, we find out the conditions for ensuring the existence of meromorphic solutions of the above equation.
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