Some oscillation results for nonlinear second-order differential equations with damping

被引：0

作者：

Cuimei Jiang

Yazhou Tian

Ying Jiang

Tongxing Li

机构：

[1] Qingdao Technological University,

来源：

Advances in Difference Equations | / 2015卷

关键词：

oscillation; second-order differential equation; damping term; generalized Riccati transformation; 34K11;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The aim of this paper is to investigate oscillatory properties of a class of second-order nonlinear differential equations with damping. Employing the generalized Riccati transformation and a class of functions, several oscillation criteria are presented that improve the results obtained in the literature. Two examples are presented to demonstrate the main results.

引用

共 50 条

[21] Oscillation Criteria for a Class of Second-Order Nonlinear Differential Equations with Damping Term
Ouyang, Zigen
Zhong, Jichao
Zou, Shuliang
ABSTRACT AND APPLIED ANALYSIS, 2009,
[22] Oscillation for second order nonlinear differential equations with damping
Cakmak, Devrim
DYNAMIC SYSTEMS AND APPLICATIONS, 2008, 17 (01): : 139 - 147
[23] Some oscillation results for second-order nonlinear delay dynamic equations
Zhang, Chenghui
Li, Tongxing
APPLIED MATHEMATICS LETTERS, 2013, 26 (12) : 1114 - 1119
[24] Interval oscillation of a general class of second-order nonlinear impulsive differential equations with nonlinear damping
Li, Xiaopei
Zhou, Xiaoliang
Wang, Wu-Sheng
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (16) : 8803 - 8810
[25] Oscillation of certain second-order functional differential equations with damping
Wang, PG
Wu, YH
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 157 (01) : 49 - 56
[26] New interval oscillation criteria for second-order functional differential equations with nonlinear damping
Ogrekçi, Suleyman
OPEN MATHEMATICS, 2015, 13 : 239 - 246
[27] Oscillation of certain second-order nonlinear differential equations
Li, WT
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 217 (01) : 1 - 14
[28] Oscillation and asymptotics for nonlinear second-order differential equations
Wu, HW
Wang, QR
Xu, YT
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (1-2) : 61 - 72
[29] Oscillation of second-order nonlinear neutral differential equations
Lin, XY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (02) : 442 - 452
[30] On the oscillation of certain second-order nonlinear differential equations
Tiryaki, A
Çakmak, D
Ayanlar, B
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (02) : 565 - 574

← 1 2 3 4 5 →