{"title":"一类三阶有理差分方程的全局动力学","authors":"M. Gümüş","doi":"10.7212/ZKUFBD.V8I2.1339","DOIUrl":null,"url":null,"abstract":"In this paper, we will investigate the global dynamics of the following non-linear difference equation\n\nx(n+1)=Ax(n-2)/B+Cx(n)^p(1)x(n-1)^p(2) , \nwhere the parameters are non-negative numbers and the initial values are non-negative numbers.","PeriodicalId":17742,"journal":{"name":"Karaelmas Science and Engineering Journal","volume":"252 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Global Dynamics of a Third-Order Rational Difference Equation\",\"authors\":\"M. Gümüş\",\"doi\":\"10.7212/ZKUFBD.V8I2.1339\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we will investigate the global dynamics of the following non-linear difference equation\\n\\nx(n+1)=Ax(n-2)/B+Cx(n)^p(1)x(n-1)^p(2) , \\nwhere the parameters are non-negative numbers and the initial values are non-negative numbers.\",\"PeriodicalId\":17742,\"journal\":{\"name\":\"Karaelmas Science and Engineering Journal\",\"volume\":\"252 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Karaelmas Science and Engineering Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7212/ZKUFBD.V8I2.1339\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Karaelmas Science and Engineering Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7212/ZKUFBD.V8I2.1339","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global Dynamics of a Third-Order Rational Difference Equation
In this paper, we will investigate the global dynamics of the following non-linear difference equation
x(n+1)=Ax(n-2)/B+Cx(n)^p(1)x(n-1)^p(2) ,
where the parameters are non-negative numbers and the initial values are non-negative numbers.