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浙江大学学报（理学版）
浙江大学学报（理学版）  2019, Vol. 46 Issue (3): 309-314    DOI: 10.3785/j.issn.1008-9497.2019.03.007
数学与计算机科学     
时标上二阶广义Emden-Fowler型动态方程的振荡性
李继猛
邵阳学院 理学院, 湖南 邵阳 422004
Oscillatorg behavier of the second-order generalized Emden-Fowler dynamic equations on time scales
Jimeng LI
School of Science, Shaoyang University, Shaoyang 422004, Hunan Province, China
 全文: PDF(440 KB)   HTML  
摘要： 研究了时标上的一类具有阻尼项的二阶广义Emden-Fowler型泛函动态方程的振荡性，利用时标上的微积分理论和广义的Riccati变换及不等式技巧，建立了该方程振荡的若干判别准则， 推广且改进了一些已有的结果，并用具体实例来说明本文的主要结论。
关键词： 振荡性;  Emden-Fowler型动态方程;  时标;  阻尼项;  变时滞    
Abstract: The oscillation of certain second-order generalized Emden-Fowler dynamic equations with damping on time scales is discussed. By using the calculus theory on time scales and the generalized Riccati transformation and the inequality technique, we establish some new oscillation criteria for the equations. Our results extend and improve some known results, an example is given to illustrate the main results of this article.
Key words: oscillation    Emden-Fowler dynamic equations    time scales    damping term    variable delay
收稿日期: 2018-03-18 出版日期: 2019-05-25
CLC:  O175.7  
基金资助: 湖南省自然科学基金资助项目(12JJ3008)；湖南省教育厅教学改革研究项目(2016jg671)；邵阳市科技计划项目(2016GX04)．
作者简介: 李继猛(1964—),ORCID: http://orcid.org/0000-0002-9263-2878，男,副教授,主要从事解析不等式及微分方程理论研究，E-mail:syxyljm@163.com．
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引用本文:

李继猛. 时标上二阶广义Emden-Fowler型动态方程的振荡性[J]. 浙江大学学报（理学版）, 2019, 46(3): 309-314.

Jimeng LI. Oscillatorg behavier of the second-order generalized Emden-Fowler dynamic equations on time scales. Journal of ZheJIang University(Science Edition), 2019, 46(3): 309-314.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2019.03.007    或    https://www.zjujournals.com/sci/CN/Y2019/V46/I3/309

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