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.
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University of Szeged
2014-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3150 |
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doaj-e928118fd05f483aabf93346a41984ce2021-07-14T07:21:26ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752014-09-0120144511210.14232/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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Stevo Stevic Mohammed Alghamdi Abdullah Alotaibi N. Shahzad |
| 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 |
| author_facet |
Stevo Stevic Mohammed Alghamdi Abdullah Alotaibi N. Shahzad |
| author_sort |
Stevo Stevic |
| title |
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_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_sort |
boundedness character of a max-type system of difference equations of second order |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2014-09-01 |
| 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. |
| 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 |
| work_keys_str_mv |
AT stevostevic boundednesscharacterofamaxtypesystemofdifferenceequationsofsecondorder AT mohammedalghamdi boundednesscharacterofamaxtypesystemofdifferenceequationsofsecondorder AT abdullahalotaibi boundednesscharacterofamaxtypesystemofdifferenceequationsofsecondorder AT nshahzad boundednesscharacterofamaxtypesystemofdifferenceequationsofsecondorder |
| _version_ |
1721303650225094656 |