| Title:
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On global attractivity of a higher order difference equation with asymptotic constant coefficients (English) |
| Author:
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Almaslokh, Abdulaziz |
| Author:
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Qian, Chuanxi |
| Language:
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English |
| Journal:
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Archivum Mathematicum |
| ISSN:
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0044-8753 (print) |
| ISSN:
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1212-5059 (online) |
| Volume:
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62 |
| Issue:
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1 |
| Year:
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2026 |
| Pages:
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1-18 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
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Consider the following higher order difference equation \begin{equation*} x_{n+1}= a_n x_n+ b_n f( x_n) + c_nf(x_{n-k}), \ n=0, 1, \dots , \end{equation*} where $ f\colon [0, \infty ) \rightarrow [0, \infty ) $ is a continuous function with $f(x)>0$ for $x>0$, $\lbrace a_n\rbrace $ is a sequence in $(0,1)$, $\lbrace b_n\rbrace $ and $\lbrace c_n\rbrace $ are sequences in $[0,1)$ with $a_n+b_n+c_n=1$ and $a_n, b_n$ and $c_n$ are convergent, and $k$ is a positive integer. Our aim in this paper is to study the global attractivity of positive solutions of this equation and its applications. (English) |
| Keyword:
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higher order difference equation |
| Keyword:
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positive equilibrium |
| Keyword:
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global attractivity |
| Keyword:
|
population model |
| MSC:
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39A10 |
| MSC:
|
92D25 |
| DOI:
|
10.5817/AM2026-1-1 |
| . |
| Date available:
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2026-04-23T07:58:42Z |
| Last updated:
|
2026-04-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153601 |
| . |
| Reference:
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