On non-Archimedean recurrence equations and their applications
In the present paper we study stability of recurrence equations (which in particular case contain dynamics of rational functions) generated by contractive functions defined on an arbitrary non-Archimedean algebra. Moreover, multirecurrence equations are considered. We also investigate reverse recurr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/39318/ http://irep.iium.edu.my/39318/1/mfha-JMAA%282015%29.pdf |
| _version_ | 1848781761368031232 |
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| author | Mukhamedov, Farrukh Akın, Hasan |
| author_facet | Mukhamedov, Farrukh Akın, Hasan |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present paper we study stability of recurrence equations (which in particular case contain dynamics of rational functions) generated by contractive functions defined on an arbitrary non-Archimedean algebra. Moreover, multirecurrence equations are considered. We also investigate reverse recurrence equations which have application in the study of p-adic Gibbs measures. Note that our results also provide the existence of unique solutions of nonlinear functional equations. We should stress that the non-Archimedeanity of the algebra is essentially used, therefore, the methods applied in the present paper are not valid in the Archimedean setting. |
| first_indexed | 2025-11-14T15:54:42Z |
| format | Article |
| id | iium-39318 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:54:42Z |
| publishDate | 2015 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-393182015-10-23T09:27:22Z http://irep.iium.edu.my/39318/ On non-Archimedean recurrence equations and their applications Mukhamedov, Farrukh Akın, Hasan QA Mathematics In the present paper we study stability of recurrence equations (which in particular case contain dynamics of rational functions) generated by contractive functions defined on an arbitrary non-Archimedean algebra. Moreover, multirecurrence equations are considered. We also investigate reverse recurrence equations which have application in the study of p-adic Gibbs measures. Note that our results also provide the existence of unique solutions of nonlinear functional equations. We should stress that the non-Archimedeanity of the algebra is essentially used, therefore, the methods applied in the present paper are not valid in the Archimedean setting. Elsevier 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/39318/1/mfha-JMAA%282015%29.pdf Mukhamedov, Farrukh and Akın, Hasan (2015) On non-Archimedean recurrence equations and their applications. Journal of Mathematical Analysis and Applications, 423. pp. 1203-1218. ISSN 0022-247X http://dx.doi.org/10.1016/j.jmaa.2014.10.046 10.1016/j.jmaa.2014.10.046 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Akın, Hasan On non-Archimedean recurrence equations and their applications |
| title | On non-Archimedean recurrence equations and their applications |
| title_full | On non-Archimedean recurrence equations and their applications |
| title_fullStr | On non-Archimedean recurrence equations and their applications |
| title_full_unstemmed | On non-Archimedean recurrence equations and their applications |
| title_short | On non-Archimedean recurrence equations and their applications |
| title_sort | on non-archimedean recurrence equations and their applications |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/39318/ http://irep.iium.edu.my/39318/ http://irep.iium.edu.my/39318/ http://irep.iium.edu.my/39318/1/mfha-JMAA%282015%29.pdf |