Oscillation criteria for mixed neutral differential equations

Abdulaziz khalid Alsharidi; Ali Muhib; Abdulaziz khalid Alsharidi; Ali Muhib

doi:10.3934/math.2024703

AIMS Mathematics

2024, Volume 9, Issue 6: 14473-14486. doi: 10.3934/math.2024703

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Research article

Oscillation criteria for mixed neutral differential equations

Abdulaziz khalid Alsharidi ^{1
,
,},
Ali Muhib ^{2,3
,
,}

1.
Department of Mathematics and Statistics, College of Science, King Faisal University, Al Ahsa 31982, Saudi Arabia
2.
Department of Mathematics, Faculty of Applied and Educational Sciences, Al-Nadera, Ibb University, Ibb, Yemen
3.
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt

Received: 09 February 2024 Revised: 07 April 2024 Accepted: 11 April 2024 Published: 22 April 2024
MSC : 34C10, 34K11

In this study, we aim to contribute to the increasing interest in functional differential equations by obtaining new theorems for the oscillation of second-order neutral differential equations of mixed type in a non-canonical form. The results obtained here improve and extend those reported in the literature. The applicability of the results is illustrated by several examples.
- neutral differential equations of mixed type,
- second-order,
- non-canonical form
Citation: Abdulaziz khalid Alsharidi, Ali Muhib. Oscillation criteria for mixed neutral differential equations[J]. AIMS Mathematics, 2024, 9(6): 14473-14486. doi: 10.3934/math.2024703

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Abstract

In this study, we aim to contribute to the increasing interest in functional differential equations by obtaining new theorems for the oscillation of second-order neutral differential equations of mixed type in a non-canonical form. The results obtained here improve and extend those reported in the literature. The applicability of the results is illustrated by several examples.

References

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