On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k)
The behavior of well-defined solutions of the difference equation xn=anxn-k/(bn+cnxn-1⋯xn-k), n∈ℕ0, where k∈ℕ is fixed, the sequences an, bn and cn are real, (bn,cn)≠(0,0), n∈ℕ0, and the initial values x-k,…,x-1 are real numbers, is described.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/409237 |
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| _version_ | 1832554639304687616 |
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| author | Stevo Stević Josef Diblík Bratislav Iričanin Zdeněk Šmarda |
| author_facet | Stevo Stević Josef Diblík Bratislav Iričanin Zdeněk Šmarda |
| author_sort | Stevo Stević |
| collection | DOAJ |
| description | The behavior of well-defined solutions of the difference equation xn=anxn-k/(bn+cnxn-1⋯xn-k), n∈ℕ0, where k∈ℕ is fixed, the sequences an, bn and cn are real, (bn,cn)≠(0,0), n∈ℕ0, and the initial values x-k,…,x-1 are real numbers, is described. |
| format | Article |
| id | doaj-art-70084eadc6484584adae5d1e09f6a357 |
| 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-70084eadc6484584adae5d1e09f6a3572025-02-03T05:50:59ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/409237409237On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k)Stevo Stević0Josef Diblík1Bratislav Iričanin2Zdeněk Šmarda3Mathematical Institute of The Serbian Academy of Sciences and Arts, Knez, Mihailova 36/III, 11000 Beograd, SerbiaDepartment of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 60200 Brno, Czech Republic Faculty of Electrical Engineering, Belgrade University, Bulevar Kralja Aleksandra 73, 11000 Beograd, SerbiaDepartment of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, 61600 Brno, Czech Republic The behavior of well-defined solutions of the difference equation xn=anxn-k/(bn+cnxn-1⋯xn-k), n∈ℕ0, where k∈ℕ is fixed, the sequences an, bn and cn are real, (bn,cn)≠(0,0), n∈ℕ0, and the initial values x-k,…,x-1 are real numbers, is described.http://dx.doi.org/10.1155/2012/409237 |
| spellingShingle | Stevo Stević Josef Diblík Bratislav Iričanin Zdeněk Šmarda On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k) Abstract and Applied Analysis |
| title | On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k) |
| title_full | On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k) |
| title_fullStr | On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k) |
| title_full_unstemmed | On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k) |
| title_short | On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k) |
| title_sort | on the difference equation xn anxn k bn cnxn 1⋯xn k |
| url | http://dx.doi.org/10.1155/2012/409237 |
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