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.

引用

页数：9

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