Title | ON THE ASYMPTOTICS OF THE DIFFERENCE EQUATION... |
Publication Type | Journal Article |
Year of Publication | 2010 |
Authors | VAN KHUONG, VU, THAI, TRANHONG |
Secondary Title | Communications in Applied Analysis |
Volume | 14 |
Issue | 4 |
Start Page | 443 |
Pagination | 446 |
Date Published | 12/2010 |
Type of Work | scientific: mathematics |
ISSN | 1083–2564 |
AMS | 99Z00 |
Abstract | The aim of this paper is to show the existence of a solution of the difference equation in the title converging to zero as n → ∞, and to determine its asymptotic behaviour.
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URL | http://www.acadsol.eu/en/articles/14/4/2.pdf |
Short Title | ASYMPTOTICS OF DIFFERENCE EQUATION |
Refereed Designation | Refereed |
Full Text | REFERENCES[1] L. Berg, Asymptotische Darstellungen und Entwicklungen, Dt. Verlag Wiss, Berlin, 1968.
[2] L. Berg, On the asymptotics of nonlinear difference equations, Zeitschrift for Analysis and Ihre Anwendungen 21 (2002), 1061–1074. [3] L. Berg, On the asymptotics of the difference equations xn−3 = xn(1 + xn−1 xn−2 ), J. Differ. Equations Appl. Vol.14, No. 1 January 2008, 105–108. [4] M. R. S. Kulenovic and G. Ladas, Dynamics of second order rational difference equations, London, FL. Chapman and Hall/ CRC, 2002. [5] D. Simsek, C. Cinar, R. Karatas and I. Yalcinkaya, On the recursive sequence xn+1 = , International Juornal of Pure and Applied Mathmatics, 28 (2006), 117–124. [6] S. Stevic, On positive solutions of a (k + 1)th order difference equations, Applied Mathmatics Letter, 19 (2006), 427–431. [7] S. Stevic, On monotone solutions of some classes of difference equations, Discrete Dyn. Nat. Soc., Article ID 538909, 2006. [8] S. Stevic, On the difference equation , 2007. |