{"title":"关于指数型差分方程","authors":"Melih Göcen","doi":"10.7212/ZKUFBD.V8I2.1366","DOIUrl":null,"url":null,"abstract":"In this paper, the local asymptotic behavior of positive solutions of some exponential difference equations\nx_(n+1)=(x_n+x_(n-k))/(1+x_(n-k) e^(x_(n-k) ) ) , k ∈ N, n=0,1,2,… \nare investigated where the initial conditions are arbitrary positive real numbers. Furthermore, some numerical examples are presented to verify our results.","PeriodicalId":17742,"journal":{"name":"Karaelmas Science and Engineering Journal","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On some difference equations of exponential form\",\"authors\":\"Melih Göcen\",\"doi\":\"10.7212/ZKUFBD.V8I2.1366\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the local asymptotic behavior of positive solutions of some exponential difference equations\\nx_(n+1)=(x_n+x_(n-k))/(1+x_(n-k) e^(x_(n-k) ) ) , k ∈ N, n=0,1,2,… \\nare investigated where the initial conditions are arbitrary positive real numbers. Furthermore, some numerical examples are presented to verify our results.\",\"PeriodicalId\":17742,\"journal\":{\"name\":\"Karaelmas Science and Engineering Journal\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Karaelmas Science and Engineering Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7212/ZKUFBD.V8I2.1366\",\"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.V8I2.1366","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, the local asymptotic behavior of positive solutions of some exponential difference equations
x_(n+1)=(x_n+x_(n-k))/(1+x_(n-k) e^(x_(n-k) ) ) , k ∈ N, n=0,1,2,…
are investigated where the initial conditions are arbitrary positive real numbers. Furthermore, some numerical examples are presented to verify our results.
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