In this article, we use the Riccati transformation technique and some inequalities, to establish oscillation theorems for all solutions to even-order quasilinear neutral differential equation
![$$
\Big(\big[\big(x(t)+p(t)x(\tau(t))\big)^{(n-1)}\big]^\gamma\Big)'
+q(t)x^\gamma\big(\sigma(t)\big)=0,\quad t\geq t_0.
$$](gifs/aa.gif)
Our main results are illustrated with examples.
Blanka Baculikova, Jozef Dzurina, Tongxing Li
Abstract:
In this article, we use the Riccati transformation technique
and some inequalities, to establish oscillation theorems
for all solutions to even-order quasilinear neutral differential
equation
Our main results are illustrated with examples.
Submitted April 28, 2011. Published November 1, 2011.
Math Subject Classifications: 34K11, 34C10.
Key Words: Oscillation; Neutral differential equation; even-order.
Show me the PDF file (233 KB), TEX file for this article.
| Blanka Baculíková Department of Mathematics Faculty of Electrical Engineering and Informatics Technical University of Kosice Letná 9, 042 00 Kosice, Slovakia email: blanka.baculikova@tuke.sk | |
 |
Jozef Dzurina Department of Mathematics Faculty of Electrical Engineering and Informatics Technical University of Kosice Letná 9, 042 00 Kosice, Slovakia email: jozef.dzurina@tuke.sk |
 |
Tongxing Li School of Control Science and Engineering Shandong University Jinan, Shandong 250061, China email: litongx2007@163.com |
Return to the EJDE web page