Oscillation Criteria for Third-order NonlinearNeutral Dynamic Equations on Time Scales
文献类型:期刊论文
作者 | Zhang Zhiyu1; Han Qiang2; Yu Yuanhong3 |
刊名 | 工程数学学报
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出版日期 | 2016 |
卷号 | 33.0期号:2页码:206-220 |
关键词 | third-order nonlinear dynamic equation neutral oscillation criterion asymptoticbehavior generalized Riccati transformation time scale |
ISSN号 | 1005-3085 |
其他题名 | Oscillation Criteria for Third-order Nonlinear Neutral Dynamic Equations on Time Scales |
英文摘要 | 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. |
语种 | 中文 |
CSCD记录号 | CSCD:5672719 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/56535] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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