{"title":"某类非线性微分差分方程 k 次导数全解的存在性","authors":"Jayashri Pattar, Shilpa N","doi":"10.56947/amcs.v21.250","DOIUrl":null,"url":null,"abstract":"The paper discusses the existence of entire solutions for k th derivative of certain type of non-linear differential-difference equations. In addition to, the paper evaluates some previous results for existence of finite order transcendental entiresolutions and extends to the higher order. Particularly, we obtain the conditions for occurrence and attainable forms of entire solutions.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"59 5","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence of entire solutions for k-th derivative of certain type of non-linear differential-difference equations\",\"authors\":\"Jayashri Pattar, Shilpa N\",\"doi\":\"10.56947/amcs.v21.250\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper discusses the existence of entire solutions for k th derivative of certain type of non-linear differential-difference equations. In addition to, the paper evaluates some previous results for existence of finite order transcendental entiresolutions and extends to the higher order. Particularly, we obtain the conditions for occurrence and attainable forms of entire solutions.\",\"PeriodicalId\":504658,\"journal\":{\"name\":\"Annals of Mathematics and Computer Science\",\"volume\":\"59 5\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/amcs.v21.250\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/amcs.v21.250","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence of entire solutions for k-th derivative of certain type of non-linear differential-difference equations
The paper discusses the existence of entire solutions for k th derivative of certain type of non-linear differential-difference equations. In addition to, the paper evaluates some previous results for existence of finite order transcendental entiresolutions and extends to the higher order. Particularly, we obtain the conditions for occurrence and attainable forms of entire solutions.
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