Oscillatory and asymptotic behavior of third-order neutral delay differential equations with distributed deviating arguments

Yibing Sun; Yige Zhao; Yibing Sun; Yige Zhao

doi:10.3934/math.2020326

AIMS Mathematics

2020, Volume 5, Issue 5: 5076-5093. doi: 10.3934/math.2020326

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Research article

Oscillatory and asymptotic behavior of third-order neutral delay differential equations with distributed deviating arguments

Yibing Sun ^,,
Yige Zhao

School of Mathematical Sciences, University of Jinan, Jinan 250022, Shandong, P. R. China

Received: 19 February 2020 Accepted: 08 June 2020 Published: 11 June 2020
MSC : 34K11

This paper examines the oscillatory and asymptotic properties of a class of third-order neutral delay differential equations with distributed deviating arguments. A series of new oscillation criteria are presented under some more relaxed conditions by using the Riccati transformation technique. The results obtained here improve and complement that in the literature. At last, two examples are provided to illustrate the main results.
- oscillatory property,
- asymptotic behavior,
- neutral delay differential equations,
- distributed deviating arguments,
- Riccati transformation
Citation: Yibing Sun, Yige Zhao. Oscillatory and asymptotic behavior of third-order neutral delay differential equations with distributed deviating arguments[J]. AIMS Mathematics, 2020, 5(5): 5076-5093. doi: 10.3934/math.2020326

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Abstract

This paper examines the oscillatory and asymptotic properties of a class of third-order neutral delay differential equations with distributed deviating arguments. A series of new oscillation criteria are presented under some more relaxed conditions by using the Riccati transformation technique. The results obtained here improve and complement that in the literature. At last, two examples are provided to illustrate the main results.

References

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