Oscillation theorems of solution of second-order neutral differential equations

Ali Muhib; Hammad Alotaibi; Omar Bazighifan; Kamsing Nonlaopon; Ali Muhib; Hammad Alotaibi; Omar Bazighifan; Kamsing Nonlaopon

doi:10.3934/math.2021737

AIMS Mathematics

2021, Volume 6, Issue 11: 12771-12779. doi: 10.3934/math.2021737

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Research article

Oscillation theorems of solution of second-order neutral differential equations

1.
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
2.
Department of Mathematics, Faculty of Education – Al-Nadirah, Ibb University, Ibb, Yemen
3.
Department of Mathematics, Faculty of Science, Taif University, P.O.Box 11099, Taif 21944, Saudi Arabia
4.
Department of Mathematics, Faculty of Science, Hadhramout University, Seiyun, Yemen
5.
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Received: 14 January 2021 Accepted: 10 August 2021 Published: 07 September 2021
MSC : 34C10, 34K11

In this paper, we aim to explore the oscillation of solutions for a class of second-order neutral functional differential equations. We propose new criteria to ensure that all obtained solutions are oscillatory. The obtained results can be used to develop and provide theoretical support for and further develop the oscillation study for a class of second-order neutral differential equations. Finally, an illustrated example is given to demonstrate the effectiveness of our new criteria.
- neutral differential equation,
- oscillation criteria,
- second-order neutral differential equation
Citation: Ali Muhib, Hammad Alotaibi, Omar Bazighifan, Kamsing Nonlaopon. Oscillation theorems of solution of second-order neutral differential equations[J]. AIMS Mathematics, 2021, 6(11): 12771-12779. doi: 10.3934/math.2021737

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Abstract

In this paper, we aim to explore the oscillation of solutions for a class of second-order neutral functional differential equations. We propose new criteria to ensure that all obtained solutions are oscillatory. The obtained results can be used to develop and provide theoretical support for and further develop the oscillation study for a class of second-order neutral differential equations. Finally, an illustrated example is given to demonstrate the effectiveness of our new criteria.

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