Oscillation Criteria for Third-order NonlinearNeutral Dynamic Equations on Time Scales

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	Oscillation Criteria for Third-order NonlinearNeutral Dynamic Equations on Time Scales
其他题名	Oscillation Criteria for Third-order Nonlinear Neutral Dynamic Equations on Time Scales
	Zhang Zhiyu 1; Han Qiang 2; Yu Yuanhong 3
	2016
发表期刊	工程数学学报
ISSN	1005-3085
卷号	33.0 期号:2 页码:206-220
摘要	Many practical problems, such as those from electronic engineering, mechanicalengineering, ecological engineering, aerospace engineering and so on, need to bedescribed by dynamic equations on time scales, so it is important in theory andpractical significance to study these equations. In this paper, the oscillation andasymptotic behavior of third-order nonlinear neutral delay dynamic equations ontime scales are studied by using generalized Riccati transformation technique, integralaveraging methods and comparison theorems. The main purpose of this paperis to establish some new oscillation criteria for such dynamic equations. The newKamenev criteria and Philos criteria are given, and an example is considered toillustrate our main results.
其他摘要	Many practical problems, such as those from electronic engineering, mechanical engineering, ecological engineering, aerospace engineering and so on, need to be described by dynamic equations on time scales, so it is important in theory and practical significance to study these equations. In this paper, the oscillation and asymptotic behavior of third-order nonlinear neutral delay dynamic equations on time scales are studied by using generalized Riccati transformation technique, integral averaging methods and comparison theorems. The main purpose of this paper is to establish some new oscillation criteria for such dynamic equations. The new Kamenev criteria and Philos criteria are given, and an example is considered to illustrate our main results.
关键词	third-order nonlinear dynamic equation neutral oscillation criterion asymptoticbehavior generalized Riccati transformation time scale
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:5672719
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/56536
专题	中国科学院数学与系统科学研究院
作者单位	1.太原工业学院 2.山东大学 3.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Zhang Zhiyu,Han Qiang,Yu Yuanhong. Oscillation Criteria for Third-order NonlinearNeutral Dynamic Equations on Time Scales[J]. 工程数学学报,2016,33.0(2):206-220.
APA	Zhang Zhiyu,Han Qiang,&Yu Yuanhong.(2016).Oscillation Criteria for Third-order NonlinearNeutral Dynamic Equations on Time Scales.工程数学学报,33.0(2),206-220.
MLA	Zhang Zhiyu,et al."Oscillation Criteria for Third-order NonlinearNeutral Dynamic Equations on Time Scales".工程数学学报 33.0.2(2016):206-220.