Oscillation behavior for neutral delay differential equations of second-order

Osama Moaaz; Michael Herty; Waed Muhsin; Belgees Qaraad; Hijaz Ahmad; Shao-Wen Yao

doi:10.3934/mbe.2021221

Oscillation behavior for neutral delay differential equations of second-order

Math Biosci Eng. 2021 May 20;18(4):4390-4401. doi: 10.3934/mbe.2021221.

Authors

Osama Moaaz¹, Michael Herty^{1

2}, Waed Muhsin¹, Belgees Qaraad^{1

3}, Hijaz Ahmad^{4

5}, Shao-Wen Yao⁶

Affiliations

¹ Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.
² Department of Mathematics, Faculty of Education-Al-Nadirah, Ibb University, Ibb, Yemen.
³ Department of Mathematics, Faculty of Science, Amran University, Amran, Yemen.
⁴ Department of Basic Sciences, University of Engineering and Technology, Peshawar, Pakistan.
⁵ Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, Roma 00186, Italy.
⁶ School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China.

PMID: 34198443
DOI: 10.3934/mbe.2021221

Abstract

In this paper, new criteria for oscillation of neutral delay differential equations of second-order are presented. One objective of this study is to complement and extend some well-known related results in the literature. To support our main results, we give illustrating examples.

Keywords: delay differential equations; neutral; oqscillation.

Publication types

Research Support, Non-U.S. Gov't