On the Existence of Periodic Solutions of Nonlinear Difference Equations
We obtain new sufficient conditions for the existence and uniqueness of an N-periodic solution (N is a positive integer) of a nonlinear difference equation with continuous argument of the form x(t + 1) = f(x(t)) and investigate the properties of this solution.
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| Date: | 2002 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4201 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510332703735808 |
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| author | Pelyukh, G. P. Пелюх, Г. П. Пелюх, Г. П. |
| author_facet | Pelyukh, G. P. Пелюх, Г. П. Пелюх, Г. П. |
| author_sort | Pelyukh, G. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:24:06Z |
| description | We obtain new sufficient conditions for the existence and uniqueness of an N-periodic solution (N is a positive integer) of a nonlinear difference equation with continuous argument of the form x(t + 1) = f(x(t)) and investigate the properties of this solution. |
| first_indexed | 2026-03-24T02:55:19Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4201 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:55:19Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/21/d9b5489a0f657d0d79fc9f3c117cef21.pdf |
| spelling | umjimathkievua-article-42012020-03-18T20:24:06Z On the Existence of Periodic Solutions of Nonlinear Difference Equations О существовании периодических решений нелинейных разностных уравнений Pelyukh, G. P. Пелюх, Г. П. Пелюх, Г. П. We obtain new sufficient conditions for the existence and uniqueness of an N-periodic solution (N is a positive integer) of a nonlinear difference equation with continuous argument of the form x(t + 1) = f(x(t)) and investigate the properties of this solution. Одержано нові достатні умови існування і єдиності $N$-періодичного ($N$ — ціле додатне число) розв'язку нелінійного різницевого рівняння з неперервним аргументом вигляду $x(t + 1) = f(x(t))$ і досліджено його властивості. Institute of Mathematics, NAS of Ukraine 2002-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4201 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 12 (2002); 1626-1633 Український математичний журнал; Том 54 № 12 (2002); 1626-1633 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4201/5109 https://umj.imath.kiev.ua/index.php/umj/article/view/4201/5110 Copyright (c) 2002 Pelyukh G. P. |
| spellingShingle | Pelyukh, G. P. Пелюх, Г. П. Пелюх, Г. П. On the Existence of Periodic Solutions of Nonlinear Difference Equations |
| title | On the Existence of Periodic Solutions of Nonlinear Difference Equations |
| title_alt | О существовании периодических решений нелинейных разностных уравнений
|
| title_full | On the Existence of Periodic Solutions of Nonlinear Difference Equations |
| title_fullStr | On the Existence of Periodic Solutions of Nonlinear Difference Equations |
| title_full_unstemmed | On the Existence of Periodic Solutions of Nonlinear Difference Equations |
| title_short | On the Existence of Periodic Solutions of Nonlinear Difference Equations |
| title_sort | on the existence of periodic solutions of nonlinear difference equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4201 |
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