%0 Journal Article
%T Oscillation criteria for differential equations with piecewise constant argument
%A Zhiguo Luo
%A Jianhua Shen
%J Tamkang Journal of Mathematics
%D 2001
%I Tamkang University
%R 10.5556/j.tkjm.32.2001.293-304
%X We obtain some new oscillation and nonoscillation criteria for the differential equation with piecewise constant argument $$ x'(t) + a(t)x(t) + b(x) x([t-k]) = 0, $$ where $ a(t) $ and $ b(t) $ are continuous functions on $ [-k, infty) $, $ b(t) ge 0 $, $ k $ is a positive integer and $ [ cdot ] $ denotes the greatest integer function. The method used is based on the treatment of certain difference equation with variable coefficients. Our results extend theorems in [15]. As a special case, our results also improve the conclusions obtained by Aftabizadeh, Wiener and Xu [3].
%U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/344