The Periodic Solutions of a Class of Difference Equations
In this paper, we study the periodic solutions of a class of difference equations and give a necessary and sufficient condition under which the nonnegative solutions of the equation converge to a 2k-periodic solution by using relevant theoretical knowledge such as upper and lower limits and congruen...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7634862 |
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| _version_ | 1832552713649389568 |
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| author | Qi Wang Weiling You Gengrong Zhang |
| author_facet | Qi Wang Weiling You Gengrong Zhang |
| author_sort | Qi Wang |
| collection | DOAJ |
| description | In this paper, we study the periodic solutions of a class of difference equations and give a necessary and sufficient condition under which the nonnegative solutions of the equation converge to a 2k-periodic solution by using relevant theoretical knowledge such as upper and lower limits and congruence. Finally, the theoretical results are verified by numerical simulation. The method used in this paper provides an idea for the study of high periodic solutions. |
| format | Article |
| id | doaj-art-6caba9f142164be8930e0fbc76ac3600 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6caba9f142164be8930e0fbc76ac36002025-02-03T05:57:56ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7634862The Periodic Solutions of a Class of Difference EquationsQi Wang0Weiling You1Gengrong Zhang2Public Course Teaching DepartmentPublic Course Teaching DepartmentSchool of Mathematics and StatisticsIn this paper, we study the periodic solutions of a class of difference equations and give a necessary and sufficient condition under which the nonnegative solutions of the equation converge to a 2k-periodic solution by using relevant theoretical knowledge such as upper and lower limits and congruence. Finally, the theoretical results are verified by numerical simulation. The method used in this paper provides an idea for the study of high periodic solutions.http://dx.doi.org/10.1155/2022/7634862 |
| spellingShingle | Qi Wang Weiling You Gengrong Zhang The Periodic Solutions of a Class of Difference Equations Journal of Mathematics |
| title | The Periodic Solutions of a Class of Difference Equations |
| title_full | The Periodic Solutions of a Class of Difference Equations |
| title_fullStr | The Periodic Solutions of a Class of Difference Equations |
| title_full_unstemmed | The Periodic Solutions of a Class of Difference Equations |
| title_short | The Periodic Solutions of a Class of Difference Equations |
| title_sort | periodic solutions of a class of difference equations |
| url | http://dx.doi.org/10.1155/2022/7634862 |
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