ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR DIFFERENCE EQUATION <TEX>$x_{n+1}\;=\;{\alpha}\;+\;\beta{x_{n-1}}^{p}/{x_n}^p$</TEX>

Liu, Zhaoshuang; Liu, Zhaoshuang; Zhang, Zhenguo; Zhang, Zhenguo

P-ISSN1226-0657
E-ISSN2287-6081
KCI

Home

OA Policy

ISSN : 1226-0657

Article Contents

Prev Next

e-Submission

Vol.11 No.1

Citation Share

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2004, v.11 no.1, pp.15-22

Liu, Zhaoshuang
Zhang, Zhenguo

Liu,, Z. , & Zhang,, Z. (2004). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 11(1), 15-22.

copy

Abstract

In this paper, we investigate asymptotic stability, oscillation, asymptotic behavior and existence of the period-2 solutions for difference equation <TEX>$x_{n+1}\;=\;{\alpha}\;+\;\beta{x_{n-1}}^{p}/{x_n}^p$</TEX> where <TEX>${\alpha}\;{\geq}\;0,\;{\beta}\;>\;0.\;<TEX>$\mid$</TEX>p<TEX>$\mid$</TEX>\;{\geq}\;1$</TEX>, and the initial conditions <TEX>$x_{-1}\;and\;x_0$</TEX> are arbitrary positive real numbers.

keywords: difference equation, stability, oscillation, period-2 solution

바로가기메뉴

Article Contents

Vol.11 No.1

Abstract

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics