Oscillation of perturbed nonlinear dynamic equations on time scales

被引：0

作者：

Sun, HR ^{[1
]}

Li, WT ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2005年 / 85卷 / 10期

关键词：

time scales; dynamic equation; oscillation;

D O I：

10.1002/zamm.200310212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the oscillatory and asymptotic behavior of bounded solutions of second-order nonlinear perturbed dynamic equation [GRAPHICS] (0.1) where r = k/l with k even and l odd positive integer. Some new sufficient conditions are obtained for all bounded solutions of (0.1) to be oscillatory. Several examples that dwell upon the importance of our results are also included. In particular, our criteria extend some earlier results.

引用

页码：755 / 760

页数：6

共 50 条

[21] Asymptotics and oscillation of nth-order nonlinear dynamic equations on time scales [J].

Zhang, Shao-Yan ;

Wang, Qi-Ru ;

Kong, Qingkai .

APPLIED MATHEMATICS AND COMPUTATION, 2016, 275 :324-334

[22] Oscillation criteria for second order nonlinear delay dynamic equations on time scales [J].

Deng, Xun-Huan ;

Wang, Qi-Ru ;

Zhou, Zhan .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 269 :834-840

[23] OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR NEUTRAL DYNAMIC EQUATIONS ON TIME SCALES [J].

Thandapani, E. ;

Piramanantham, V. .

TAMKANG JOURNAL OF MATHEMATICS, 2012, 43 (01) :109-122

[24] Oscillation of second-order nonlinear delay dynamic equations on time scales [J].

Zhang, BG ;

Zhu, SL .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (04) :599-609

[25] Oscillation criteria for third order nonlinear delay dynamic equations on time scales [J].

Han, Zhenlai ;

Li, Tongxing ;

Sun, Shurong ;

Cao, Fengjuan .

ANNALES POLONICI MATHEMATICI, 2010, 99 (02) :143-156

[26] Oscillation for a nonlinear neutral dynamic equations on time-scales with variable exponents [J].

Negi, Shekhar Singh ;

Abbas, Syed ;

Malik, Muslim .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (12) :4146-4169

[27] OSCILLATION OF SECOND-ORDER NONLINEAR IMPULSIVE DYNAMIC EQUATIONS ON TIME SCALES [J].

Huang, Mugen ;

Feng, Weizhen .

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,

[28] Oscillation Criteria for Second-order Nonlinear Dynamic Equations on Time Scales [J].

Cao, Fengjuan ;

Han, Zhenlai .

PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, :139-142

[29] Forced Oscillation of Second-order Nonlinear Dynamic Equations on Time Scales [J].

Li, Tongxing ;

Han, Zhenlai ;

Sun, Shurong ;

Zhang, Chenghui .

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (60) :1-8

[30] Oscillation Results for Third Order Nonlinear Delay Dynamic Equations on Time Scales [J].

Li, Tongxing ;

Han, Zhenlai ;

Sun, Shurong ;

Zhao, Yige .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2011, 34 (03) :639-648

← 1 2 3 4 5 →