On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k)
We show that the difference equation xn+1=xnxn-k/xn-k+1(a+bxnxn-k),n∈ℕ0, where k∈ℕ, the parameters a, b and initial values x-i, i=0,k̅ are real numbers, can be solved in closed form considerably extending the results in the literature. By using obtained formulae, we investigate asymptotic behavior o...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/108047 |
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| _version_ | 1832545319375601664 |
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| author | Stevo Stević Josef Diblík Bratislav Iričanin Zdenĕk Šmarda |
| author_facet | Stevo Stević Josef Diblík Bratislav Iričanin Zdenĕk Šmarda |
| author_sort | Stevo Stević |
| collection | DOAJ |
| description | We show that the difference equation xn+1=xnxn-k/xn-k+1(a+bxnxn-k),n∈ℕ0, where k∈ℕ, the parameters a, b and initial values x-i, i=0,k̅ are real numbers, can be solved in closed form considerably extending the results in the literature. By using obtained formulae, we investigate asymptotic behavior of well-defined solutions of the equation. |
| format | Article |
| id | doaj-art-978fe8e27ab44e25a8339f65a8683c7f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-978fe8e27ab44e25a8339f65a8683c7f2025-02-03T07:26:08ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/108047108047On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k)Stevo Stević0Josef Diblík1Bratislav Iričanin2Zdenĕk Šmarda3Mathematical Institute of the Serbian Academy of Sciences and Arts, Knez Mihailova 36/III, 11000 Belgrade, SerbiaDepartment of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 60200 Brno, Czech RepublicFaculty of Electrical Engineering, Belgrade University, Bulevar Kralja Aleksandra 73, 11000 Belgrade, SerbiaDepartment of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, 61600 Brno, Czech RepublicWe show that the difference equation xn+1=xnxn-k/xn-k+1(a+bxnxn-k),n∈ℕ0, where k∈ℕ, the parameters a, b and initial values x-i, i=0,k̅ are real numbers, can be solved in closed form considerably extending the results in the literature. By using obtained formulae, we investigate asymptotic behavior of well-defined solutions of the equation.http://dx.doi.org/10.1155/2012/108047 |
| spellingShingle | Stevo Stević Josef Diblík Bratislav Iričanin Zdenĕk Šmarda On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k) Abstract and Applied Analysis |
| title | On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k) |
| title_full | On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k) |
| title_fullStr | On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k) |
| title_full_unstemmed | On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k) |
| title_short | On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k) |
| title_sort | on the difference equation xn 1 xnxn k xn k 1a bxnxn k |
| url | http://dx.doi.org/10.1155/2012/108047 |
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