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On non-Archimedean recurrence equations and their applications

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

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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.

Item Type: Article (Journal)
Additional Information: 5537/39318
Uncontrolled Keywords: Non-Archimedean algebra, Recurrence equation, Unique solution Tree
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Dr. Farrukh Mukhamedov
Date Deposited: 25 Nov 2014 17:11
Last Modified: 23 Oct 2015 17:27
URI: http://irep.iium.edu.my/id/eprint/39318

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