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Oscillation and Asymptotic Behavior of the Third-Order Neutral Differential Equation with Damping and Distributed Deviating Arguments

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Abstract

This article focuses on the oscillation and asymptotic behavior of the third-order neutral differential equation with damping and distributed deviating arguments. Some new sufficient conditions for the discussed equation are established by using a generalized Riccati transformation, which extend and improve several known results in the literature. Finally, two examples are given to illustrate the obtained results.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (Grant No. 61803176 and 61703180).

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, China

    Yibing Sun & Yige Zhao

  2. Department of Natural Resources, Inspur Software Technology Co., Ltd., Jinan, 250101, Shandong, China

    Qiangqiang Xie

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  1. Yibing Sun
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All the authors have equally and significantly contributed to this manuscript. All the authors read and approved the final manuscript.

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Correspondence to Yibing Sun.

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Sun, Y., Zhao, Y. & Xie, Q. Oscillation and Asymptotic Behavior of the Third-Order Neutral Differential Equation with Damping and Distributed Deviating Arguments. Qual. Theory Dyn. Syst. 22, 50 (2023). https://doi.org/10.1007/s12346-022-00733-4

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