On Two Nonlinear Difference Equations
The behavior of solutions of the following nonlinear difference equations \[ x_{n+1}=\displaystyle\frac{q}{p+x_n^{\nu}} \quad \text{and} \quad y_{n+1}=\displaystyle\frac{q}{-p+y_n^{\nu}}, \] where $p, q \in\mathbb{R}^+$ and $\nu\in \mathbb{N}$ are studied. The solution form of these two equations wh...
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| creator | Rabago, Julius Fergy T Bacani, Jerico B |
| description | The behavior of solutions of the following nonlinear difference equations \[
x_{n+1}=\displaystyle\frac{q}{p+x_n^{\nu}} \quad \text{and} \quad
y_{n+1}=\displaystyle\frac{q}{-p+y_n^{\nu}}, \] where $p, q \in\mathbb{R}^+$
and $\nu\in \mathbb{N}$ are studied. The solution form of these two equations
when $\nu =1$ are expressed in terms of Horadam numbers. Furthermore, the
behavior of their solutions are investigated for all integer $\nu > 0$ and
several numerical examples are presented to illustrate the results exhibited.
The present work generalizes those seen in [{\it Adv. Differ. Equ.}, {\bf
2013}:174 (2013), 7 pages]. |
| doi_str_mv | 10.48550/arxiv.1512.02716 |
| format | Article |
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x_{n+1}=\displaystyle\frac{q}{p+x_n^{\nu}} \quad \text{and} \quad
y_{n+1}=\displaystyle\frac{q}{-p+y_n^{\nu}}, \] where $p, q \in\mathbb{R}^+$
and $\nu\in \mathbb{N}$ are studied. The solution form of these two equations
when $\nu =1$ are expressed in terms of Horadam numbers. Furthermore, the
behavior of their solutions are investigated for all integer $\nu > 0$ and
several numerical examples are presented to illustrate the results exhibited.
The present work generalizes those seen in [{\it Adv. Differ. Equ.}, {\bf
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x_{n+1}=\displaystyle\frac{q}{p+x_n^{\nu}} \quad \text{and} \quad
y_{n+1}=\displaystyle\frac{q}{-p+y_n^{\nu}}, \] where $p, q \in\mathbb{R}^+$
and $\nu\in \mathbb{N}$ are studied. The solution form of these two equations
when $\nu =1$ are expressed in terms of Horadam numbers. Furthermore, the
behavior of their solutions are investigated for all integer $\nu > 0$ and
several numerical examples are presented to illustrate the results exhibited.
The present work generalizes those seen in [{\it Adv. Differ. Equ.}, {\bf
2013}:174 (2013), 7 pages].</description><subject>Mathematics - Dynamical Systems</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzrsKwjAUgOEsDqI-gJNdHFtzTzuKdxBdupfT9AQCmmq8v714mf7t5yNkyGgmc6XoBOLT3zOmGM8oN0x3yXgfkvLRJrs2HHxAiMncO4cRg8Vkcb7B1bfh0icdB4cLDv7tkXK5KGfrdLtfbWbTbQra6JTXdc650A0VjXVSGuUsGAlMFVwbgwqtRQG1ygugjjXOUCsLK7nmTVFrFD0y-m2_zuoU_RHiq_p4q69XvAHerDnH</recordid><startdate>20151208</startdate><enddate>20151208</enddate><creator>Rabago, Julius Fergy T</creator><creator>Bacani, Jerico B</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20151208</creationdate><title>On Two Nonlinear Difference Equations</title><author>Rabago, Julius Fergy T ; Bacani, Jerico B</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a676-2bb82236d03dcf4475fca74a1592677e5ecce3ab589a0f1df70c49c4262d9b6e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Mathematics - Dynamical Systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Rabago, Julius Fergy T</creatorcontrib><creatorcontrib>Bacani, Jerico B</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Rabago, Julius Fergy T</au><au>Bacani, Jerico B</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Two Nonlinear Difference Equations</atitle><date>2015-12-08</date><risdate>2015</risdate><abstract>The behavior of solutions of the following nonlinear difference equations \[
x_{n+1}=\displaystyle\frac{q}{p+x_n^{\nu}} \quad \text{and} \quad
y_{n+1}=\displaystyle\frac{q}{-p+y_n^{\nu}}, \] where $p, q \in\mathbb{R}^+$
and $\nu\in \mathbb{N}$ are studied. The solution form of these two equations
when $\nu =1$ are expressed in terms of Horadam numbers. Furthermore, the
behavior of their solutions are investigated for all integer $\nu > 0$ and
several numerical examples are presented to illustrate the results exhibited.
The present work generalizes those seen in [{\it Adv. Differ. Equ.}, {\bf
2013}:174 (2013), 7 pages].</abstract><doi>10.48550/arxiv.1512.02716</doi><oa>free_for_read</oa></addata></record> |
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| title | On Two Nonlinear Difference Equations |
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