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Research Article | Open Access

Oscillation criteria for mixed neutral differential equations

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

Keywords

neutral differential equations of mixed typesecond-ordernon-canonical form
CLC number: 34C10, 34K11

References

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AIMS Mathematics
Volume 9 Issue 6,
May 2024
Pages 14473-14486
DOI: 10.3934/math.2024703

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Alsharidi Ak, Muhib A. Oscillation criteria for mixed neutral differential equations. AIMS Mathematics, 2024, 9(6): 14473-14486. https://doi.org/10.3934/math.2024703

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Received: 09 February 2024
Revised: 07 April 2024
Accepted: 11 April 2024
Published: 22 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)