Oscillatory and asymptotic properties of higher-order quasilinear neutral differential equations

Clemente Cesarano; Osama Moaaz; Belgees Qaraad; Ali Muhib; Clemente Cesarano; Osama Moaaz; Belgees Qaraad; Ali Muhib

doi:10.3934/math.2021646

AIMS Mathematics

2021, Volume 6, Issue 10: 11124-11138. doi: 10.3934/math.2021646

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Oscillatory and asymptotic properties of higher-order quasilinear neutral differential equations

1.
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, Roma 00186, Italy
2.
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
3.
Department of Mathematics, Faculty of Science, Amran University, Amran, Yemen
4.
Department of Mathematics, Faculty of Education-Al-Nadirah, Ibb University, Ibb, Yemen

Received: 23 March 2021 Accepted: 30 July 2021 Published: 03 August 2021
MSC : 34C10, 34K11

The objective of this paper is to study the oscillation criteria for odd-order neutral differential equations with several delays. We establish new oscillation criteria by using Riccati transformation. Our new criteria are interested in complementing and extending some results in the literature. An example is considered to illustrate our results.
- neutral differential equations,
- odd-order,
- oscillation criteria
Citation: Clemente Cesarano, Osama Moaaz, Belgees Qaraad, Ali Muhib. Oscillatory and asymptotic properties of higher-order quasilinear neutral differential equations[J]. AIMS Mathematics, 2021, 6(10): 11124-11138. doi: 10.3934/math.2021646

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Abstract

The objective of this paper is to study the oscillation criteria for odd-order neutral differential equations with several delays. We establish new oscillation criteria by using Riccati transformation. Our new criteria are interested in complementing and extending some results in the literature. An example is considered to illustrate our results.

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