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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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doaj-70084eadc6484584adae5d1e09f6a3572020-11-24T21:03:47ZengHindawi LimitedAbstract 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Stevo Stević Josef Diblík Bratislav Iričanin Zdeněk Šmarda |
| 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 |
| author_facet |
Stevo Stević Josef Diblík Bratislav Iričanin Zdeněk Šmarda |
| author_sort |
Stevo Stević |
| title |
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_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_sort |
on the difference equation xn=anxn-k/(bn+cnxn-1⋯xn-k) |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2012/409237 |
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1716773029613142016 |