Journal of East China Normal University(Natural Science) >

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

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

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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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

Cite this article

LI Mo-han . Oscillation of certain third-order variable  delay damped dynamic equations on time scales[J]. Journal of East China Normal University(Natural Science), 2016 , 2016(4) : 11 -24 . DOI: 10.3969/j.issn.1000-5641.2016.04.002

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