一类高阶非线性差分方程的动态行为和解的表达式
IF 1.3
4区 数学
Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Ghada AlNemer, Lama Sh. Aljoufi, A. M. Ahmed, Samir Al Mohammady, M. Zakarya, H. M. Rezk
{"title":"一类高阶非线性差分方程的动态行为和解的表达式","authors":"Ghada AlNemer, Lama Sh. Aljoufi, A. M. Ahmed, Samir Al Mohammady, M. Zakarya, H. M. Rezk","doi":"10.1155/2024/7104474","DOIUrl":null,"url":null,"abstract":"The aim of this article is to get the forms of the solutions of the following nonlinear higher-order difference equations <span><svg height=\"16.2017pt\" style=\"vertical-align:-3.943501pt\" version=\"1.1\" viewbox=\"-0.0498162 -12.2582 32.251 16.2017\" width=\"32.251pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,6.981,3.132)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,10.448,3.132)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,16.008,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,24.62,0)\"></path></g></svg><span></span><svg height=\"16.2017pt\" style=\"vertical-align:-3.943501pt\" version=\"1.1\" viewbox=\"35.8331838 -12.2582 45.521 16.2017\" width=\"45.521pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g 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xlink:href=\"#g113-47\"></use></g><g transform=\"matrix(.013,0,0,-0.013,249.646,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span></span> where the initial conditions <span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 19.952 14.8173\" width=\"19.952pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-244\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,6.981,3.132)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,12.541,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,16.988,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"14.8173pt\" style=\"vertical-align:-5.52897pt\" version=\"1.1\" viewbox=\"22.0811838 -9.28833 16.763 14.8173\" width=\"16.763pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g 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height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"47.8941838 -9.28833 18.047 11.5564\" width=\"18.047pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,47.944,0)\"><use xlink:href=\"#g113-47\"></use></g><g transform=\"matrix(.013,0,0,-0.013,53.087,0)\"><use xlink:href=\"#g113-47\"></use></g><g transform=\"matrix(.013,0,0,-0.013,58.23,0)\"><use xlink:href=\"#g113-47\"></use></g><g transform=\"matrix(.013,0,0,-0.013,61.228,0)\"></path></g></svg></span> are arbitrary real numbers. Also, we examine stability, boundedness, oscillation, and the periodic nature of these solutions.","PeriodicalId":55177,"journal":{"name":"Discrete Dynamics in Nature and Society","volume":"228 1","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations\",\"authors\":\"Ghada AlNemer, Lama Sh. Aljoufi, A. M. Ahmed, Samir Al Mohammady, M. Zakarya, H. M. Rezk\",\"doi\":\"10.1155/2024/7104474\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this article is to get the forms of the solutions of the following nonlinear higher-order difference equations <span><svg height=\\\"16.2017pt\\\" style=\\\"vertical-align:-3.943501pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -12.2582 32.251 16.2017\\\" width=\\\"32.251pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,6.981,3.132)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,10.448,3.132)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,16.008,3.132)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,24.62,0)\\\"></path></g></svg><span></span><svg height=\\\"16.2017pt\\\" style=\\\"vertical-align:-3.943501pt\\\" version=\\\"1.1\\\" viewbox=\\\"35.8331838 -12.2582 45.521 16.2017\\\" width=\\\"45.521pt\\\" 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Also, we examine stability, boundedness, oscillation, and the periodic nature of these solutions.\",\"PeriodicalId\":55177,\"journal\":{\"name\":\"Discrete Dynamics in Nature and Society\",\"volume\":\"228 1\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-02-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Dynamics in Nature and Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1155/2024/7104474\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Dynamics in Nature and Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1155/2024/7104474","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
摘要
本文旨在获得以下非线性高阶差分方程的解的形式，其中初始条件和为任意实数。此外，我们还研究了这些解的稳定性、有界性、振荡和周期性。本文章由计算机程序翻译，如有差异，请以英文原文为准。
Dynamical Behavior and Expressions of Solutions of a Class of Higher-Order Nonlinear Difference Equations
The aim of this article is to get the forms of the solutions of the following nonlinear higher-order difference equations where the initial conditions and are arbitrary real numbers. Also, we examine stability, boundedness, oscillation, and the periodic nature of these solutions.
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来源期刊
Discrete Dynamics in Nature and Society
综合性期刊-数学跨学科应用
CiteScore
3.00
自引率
0.00%
发文量
598
审稿时长
3 months
期刊介绍：
The main objective of Discrete Dynamics in Nature and Society is to foster links between basic and applied research relating to discrete dynamics of complex systems encountered in the natural and social sciences. The journal intends to stimulate publications directed to the analyses of computer generated solutions and chaotic in particular, correctness of numerical procedures, chaos synchronization and control, discrete optimization methods among other related topics. The journal provides a channel of communication between scientists and practitioners working in the field of complex systems analysis and will stimulate the development and use of discrete dynamical approach.
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