Oscillation for nonlinear delay difference equations

Authors

  • X. H. Tang

DOI:

https://doi.org/10.5556/j.tkjm.32.2001.342

Abstract

The oscillatory behavior of the first order nonlinear delay difference equation of the form

$$ x_{n+1} - x_n + p_n x_{n-k}^{\alpha} = 0, ~~~ n = 0, 1, 2, \ldots ~~~~~~~ \eqno{(*)} $$

is investigated. A necessary and sufficient condition of oscillation for sublinear equation (*) ($ 0 < \alpha < 1 $) and an almost sharp sufficient condition of oscillation for superlinear equation (*) ($ \alpha > 1 $) are obtained.

Author Biography

X. H. Tang

Department of Applied Mathematics, Gentral South University, Changsha, Hunan 410083, P. R. China.

Published

2001-12-31

How to Cite

Tang, X. H. (2001). Oscillation for nonlinear delay difference equations. Tamkang Journal of Mathematics, 32(4), 275–280. https://doi.org/10.5556/j.tkjm.32.2001.342

Issue

Section

Papers