Oscillation criteria for nonlinear damped dynamic equations on time scales

被引：86
|
作者：
Erbe, Lynn [1 ]
Hassan, Taher S. [1 ,2 ]
Peterson, Allan [1 ]
机构：
[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 203卷 / 01期
关键词：
oscillation; delay nonlinear dynamic equations; time scales;
D O I：
10.1016/j.amc.2008.04.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present new oscillation criteria for the second order nonlinear damped delay dynamic equation (r(t) (chi(Delta) (t))(gamma))(Delta) + p(t) (chi(Delta sigma) (t))(gamma) + q(t)f (chi(tau(t))) = 0. Our results generalize and improve some known results for oscillation of second order nonlinear delay dynamic equation. Our results are illustrated with examples. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：343 / 357
页数：15
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