Oscillation results for nonlinear second-order damped dynamic equations

被引：7
作者：
Wang, Jingjing [1 ,2 ]
EI-Sheikh, M. M. A.
Sallam, R. A. [3 ]
Elimy, D. I. [3 ]
Li, Tongxing [4 ,5 ]
机构：
[1] Qingdao Univ Sci & Technol, Sch Informat Sci & Technol, Qingdao 266061, Shandong, Peoples R China
[2] Shandong Univ, Sch Informat Sci & Engn, Jinan 250100, Shandong, Peoples R China
[3] Menoufia Univ, Dept Math, Fac Sci, Shibin Al Kawm 32511, Egypt
[4] Linyi Univ, Shandong Prov Key Lab Network Based Intelligent C, Linda Inst, Linyi 276005, Shandong, Peoples R China
[5] Linyi Univ, Sch Informat, Linyi 276005, Shandong, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 05期
基金：
中国博士后科学基金;
关键词：
Oscillation; second-order; nonlinear dynamic equation; damping term; time scale; DIFFERENTIAL-EQUATIONS; THEOREMS;
D O I：
10.22436/jnsa.008.05.37
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The oscillatory behavior of a class of second-order nonlinear dynamic equations with damping on an arbitrary time scale is considered without requiring explicit sign assumptions on the derivative of the nonlinearity. Several sufficient conditions for the oscillation of solutions are presented using the Riccati transformation and integral averaging technique. An illustrative example is provided. (C) 2015 All rights reserved.
引用
收藏
页码：877 / 883
页数：7
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