Interval oscillation criteria for a forced second-order nonlinear differential equations with damping

被引：32

作者：

Meng, Fanwei ^{[1
]}

Huang, Yan ^{[1
]}

机构：

[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 05期

基金：

高等学校博士学科点专项科研基金;

关键词：

Interval criteria; Oscillation; Second order; Nonlinear damping; Forced term; ODE;

D O I：

10.1016/j.amc.2011.06.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the oscillations in a class of forced second-order differential equations with nonlinear damping terms. By using classical variational principle and averaging technique, several new interval oscillation criteria for the equations are established, which improve and extend some known results. Example is also given to illustrate the results. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1857 / 1861

页数：5

共 50 条

[31] ON THE OSCILLATION OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
Ogrekci, Suleyman
Misir, Adil
Tiryaki, Aydin
[J]. MISKOLC MATHEMATICAL NOTES, 2017, 18 (01) : 365 - 378
[32] Oscillation Criteria for a Class of Second-Order Nonlinear Differential Equations with Damping Term
Ouyang, Zigen
Zhong, Jichao
Zou, Shuliang
[J]. ABSTRACT AND APPLIED ANALYSIS, 2009,
[33] Oscillation of second-order nonlinear differential equations with damping
Li, Tongxing
Rogovchenko, Yuriy V.
Tang, Shuhong
[J]. MATHEMATICA SLOVACA, 2014, 64 (05) : 1227 - 1236
[34] Oscillation of second-order nonlinear differential equations with nonlinear damping
Tiryaki, A
Zafer, A
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2004, 39 (2-3) : 197 - 208
[35] Interval oscillation criteria for second-order forced impulsive differential equations with mixed nonlinearities
Guo, Zhonghai
Zhou, Xiaoliang
Ge, Weigao
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (01) : 187 - 201
[36] Interval Criteria for Oscillation of Forced Second-order Half-linear Differential Equations
SHEN Chun-xue~1
2. Department of Mathematics
[J]. Chinese Quarterly Journal of Mathematics, 2005, (04) : 411 - 417
[37] Oscillation criteria for nonlinear second order differential equations with damping
Zheng, Z
[J]. ACTA MATHEMATICA HUNGARICA, 2006, 110 (03) : 241 - 252
[38] Oscillation criteria for nonlinear second order differential equations with damping
Zhaowen Zheng
[J]. Acta Mathematica Hungarica, 2006, 110 : 241 - 252
[39] Interval Oscillation Criteria for Forced Second-Order Nonlinear Delay Dynamic Equations with Damping and Oscillatory Potential on Time Scales
Agwa, Hassan A.
Khodier, Ahmed M. M.
Hassan, Heba A.
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 2016
[40] Interval oscillation of a general class of second-order nonlinear impulsive differential equations with nonlinear damping
Li, Xiaopei
Zhou, Xiaoliang
Wang, Wu-Sheng
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (16) : 8803 - 8810

← 1 2 3 4 5 →