Boundedness character of a max-type system of difference equations of second order
The boundedness character of positive solutions of the next max-type system of difference equations $$x_{n+1}=\max\left\{A,\frac{y_n^p}{x_{n-1}^q}\right\},\quad y_{n+1}=\max\left\{A,\frac{x_n^p}{y_{n-1}^q}\right\},\quad n\in\mathbb{N}_0,$$ with $\min\{A, p, q\}>0$, is characterized.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2014-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3150 |
| _version_ | 1797830612511358976 |
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| author | Stevo Stevic Mohammed Alghamdi Abdullah Alotaibi N. Shahzad |
| author_facet | Stevo Stevic Mohammed Alghamdi Abdullah Alotaibi N. Shahzad |
| author_sort | Stevo Stevic |
| collection | DOAJ |
| description | The boundedness character of positive solutions of the next max-type system of difference equations
$$x_{n+1}=\max\left\{A,\frac{y_n^p}{x_{n-1}^q}\right\},\quad y_{n+1}=\max\left\{A,\frac{x_n^p}{y_{n-1}^q}\right\},\quad n\in\mathbb{N}_0,$$
with $\min\{A, p, q\}>0$, is characterized. |
| first_indexed | 2024-04-09T13:39:58Z |
| format | Article |
| id | doaj.art-e928118fd05f483aabf93346a41984ce |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:58Z |
| publishDate | 2014-09-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-e928118fd05f483aabf93346a41984ce2023-05-09T07:53:04ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752014-09-0120144511210.14232/ejqtde.2014.1.453150Boundedness character of a max-type system of difference equations of second orderStevo Stevic0Mohammed Alghamdi1Abdullah Alotaibi2N. Shahzad3Mathematical Institute of the Serbian Academy of Sciences, Beograd, SerbiaKing Abdulaziz University, Jeddah, Saudi ArabiaKing Abdulaziz University, Jeddah, Saudi ArabiaKing Abdulaziz University, Jeddah, Saudi ArabiaThe boundedness character of positive solutions of the next max-type system of difference equations $$x_{n+1}=\max\left\{A,\frac{y_n^p}{x_{n-1}^q}\right\},\quad y_{n+1}=\max\left\{A,\frac{x_n^p}{y_{n-1}^q}\right\},\quad n\in\mathbb{N}_0,$$ with $\min\{A, p, q\}>0$, is characterized.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3150max-type system of difference equationspositive solutionsbounded solutionsunbounded solutions |
| spellingShingle | Stevo Stevic Mohammed Alghamdi Abdullah Alotaibi N. Shahzad Boundedness character of a max-type system of difference equations of second order Electronic Journal of Qualitative Theory of Differential Equations max-type system of difference equations positive solutions bounded solutions unbounded solutions |
| title | Boundedness character of a max-type system of difference equations of second order |
| title_full | Boundedness character of a max-type system of difference equations of second order |
| title_fullStr | Boundedness character of a max-type system of difference equations of second order |
| title_full_unstemmed | Boundedness character of a max-type system of difference equations of second order |
| title_short | Boundedness character of a max-type system of difference equations of second order |
| title_sort | boundedness character of a max type system of difference equations of second order |
| topic | max-type system of difference equations positive solutions bounded solutions unbounded solutions |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3150 |
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