New Oscillation Results of Second-Order Damped Dynamic Equations with p-Laplacian on Time Scales

被引：4
|
作者：
Qiu, Yang-Cong [1 ]
Wang, Qi-Ru [2 ]
机构：
[1] Shunde Polytech, Sch Human & Social Sci, Foshan 528333, Guangdong, Peoples R China
[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷
关键词：
DIFFERENTIAL-EQUATIONS; KAMENEV-TYPE; CRITERIA;
D O I：
10.1155/2015/709242
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By employing a generalized Riccati technique and functions in some function classes for integral averaging, we derive new oscillation criteria of second-order damped dynamic equation with p-Laplacian on time scales of the form (r(t)phi(r)(x(Delta)(t)))(Delta) + p(t)phi(r)(x(Lambda)(t)) + f(t, x(g(t))) = 0, where the coefficient function p(t) may change sign. Two examples are given to demonstrate the obtained results.
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收藏
页数：9
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