Abstract and Applied Analysis

On the Difference Equation x n = a n x n - k / ( b n + c n x n - 1 x n - k )

Stevo Stević, Josef Diblík, Bratislav Iričanin, and Zdeněk Šmarda

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Abstract

The behavior of well-defined solutions of the difference equation x n = a n x n - k / ( b n + c n x n - 1 x n - k ) ,  n 0 , where k is fixed, the sequences a n , b n and c n are real, ( b n , c n ) ( 0,0 ) , n 0 , and the initial values x - k , , x - 1 are real numbers, is described.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 409237, 20 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1355495823

Digital Object Identifier
doi:10.1155/2012/409237

Zentralblatt MATH identifier
1246.39012

Citation

Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk. On the Difference Equation ${x}_{n}={a}_{n}{x}_{n-k}/({b}_{n}+{c}_{n}{x}_{n-1}\cdots {x}_{n-k})$. Abstr. Appl. Anal. 2012 (2012), Article ID 409237, 20 pages. doi:10.1155/2012/409237. https://projecteuclid.org/euclid.aaa/1355495823


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