华东师范大学学报（自然科学版） >

2016 , Vol. 2016 >Issue 4: 11 - 24

DOI: https://doi.org/10.3969/j.issn.1000-5641.2016.04.002

数学

时间尺度上一类三阶变时滞阻尼动态方程的振荡性(英)

  • 李默涵
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  • 辽东学院 师范学院 数学系, 辽宁 丹东 118003  

收稿日期: 2015-06-04

  网络出版日期: 2016-09-29

基金资助

辽宁省高等学校优秀科技人才支持计划项目 (LR2013062); 国家自然科学基金(60974144)}

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Oscillation of certain third-order variable  delay damped dynamic equations on time scales

  • LI Mo-han
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  • Mathematical Department, Teachers College, Eastern Liaoning University, Dandong Liaoning 118003, China

Received date: 2015-06-04

  Online published: 2016-09-29

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摘要

讨论了时间尺度上一类具阻尼项和非线性中立项的三阶非线性变时滞动态方程的振荡性, 利用广义的 Riccati 变换和不等式技巧, 获得了该方程的一些新的振荡准则, 推广并改进了现有文献中的一些结果, 本文的这些结果对于作为其特例的相应三阶差分方程和微分方程来说也是新的, 最后通过例子来说明了文章中的这些结果的重要性.

关键词： 振荡性 ; 时滞动态方程 ; Riccati变换 ; 时间尺度 ; 阻尼项

本文引用格式

李默涵 . 时间尺度上一类三阶变时滞阻尼动态方程的振荡性(英)[J]. 华东师范大学学报（自然科学版）, 2016 , 2016(4) : 11 -24 . DOI: 10.3969/j.issn.1000-5641.2016.04.002

Abstract

The oscillation for certain third-order nonlinear variable delay dynamic equations with damping term and nonlinear neutral term on time scales is discussed in this article. By using the generalized Riccati transformation and inequality technique, some new oscillation criteria for the equations are established. Our results extend and improve some known results in the literature. Many of the results in this paper are new for the corresponding third-order difference equations and differential equations being as special cases. Some examples are given to illustrate the importance of our results.

Key words： oscillation ; delay dynamic equations ; Riccati transformation ; time scales ; damping term

参考文献

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