Journal of East China Normal University(Natural Science) >

2021 , Vol. 2021 >Issue 1: 1 - 7

DOI: https://doi.org/10.3969/j.issn.1000-5641.201911020

Mathematics

Asymptotic properties of a class of delay differential equations with a sub-linear neutral term

  • Zhongyue HAN ,
  • Yuanhong YU
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  • 1. School of Mathematics and Big Data, Dezhou University, Dezhou Shandong　253023, China
    2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing　100190, China

Received date: 2019-05-07

  Online published: 2021-01-25

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Abstract

This paper studies the oscillation and asymptotic properties of delay differential equations with damping and sub-linear neutral terms using the generalized Riccati transformation technique and the mean value theorem. After analyzing the function of the cross-link between the condition $\int^\infty_{t_0}(\frac{1}{R(t)})^{\frac{1}{\gamma}}{\rm{d}}t=\infty$ and the relationship of parameters $\gamma$ and $\beta$ in the differential equations oscillation, the sufficient conditions for the existence of vibration solutions are provided to extend the existing results in the cited literature. Lastly, some applications are given to illustrate the significance of these results.

Key words： damping; delay; sub-linear neutral terms; differential equations; oscillation

Cite this article

Zhongyue HAN , Yuanhong YU . Asymptotic properties of a class of delay differential equations with a sub-linear neutral term[J]. Journal of East China Normal University(Natural Science), 2021 , 2021(1) : 1 -7 . DOI: 10.3969/j.issn.1000-5641.201911020

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