{"title":"一类差分方程组解的形式及周期性质","authors":"E. Elsayed, J. Al-Juaid","doi":"10.33401/fujma.1166022","DOIUrl":null,"url":null,"abstract":"In this paper we study the form of the solution of the following systems of difference equations of order two xn+1 = (x_{n}*y{n−1})/(x_{n}+y_{n-1}) , yn+1 =( y_{n}*x_{n-1})/(\\pm y_{n} \\pm x_{n-1}) \n \nwith nonzero real numbers initial conditions.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Form of Solutions and Periodic Nature for Some System of Difference Equations\",\"authors\":\"E. Elsayed, J. Al-Juaid\",\"doi\":\"10.33401/fujma.1166022\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study the form of the solution of the following systems of difference equations of order two xn+1 = (x_{n}*y{n−1})/(x_{n}+y_{n-1}) , yn+1 =( y_{n}*x_{n-1})/(\\\\pm y_{n} \\\\pm x_{n-1}) \\n \\nwith nonzero real numbers initial conditions.\",\"PeriodicalId\":199091,\"journal\":{\"name\":\"Fundamental Journal of Mathematics and Applications\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fundamental Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33401/fujma.1166022\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamental Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33401/fujma.1166022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Form of Solutions and Periodic Nature for Some System of Difference Equations
In this paper we study the form of the solution of the following systems of difference equations of order two xn+1 = (x_{n}*y{n−1})/(x_{n}+y_{n-1}) , yn+1 =( y_{n}*x_{n-1})/(\pm y_{n} \pm x_{n-1})
with nonzero real numbers initial conditions.
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