Functional differential equations in the non-canonical case: New conditions for oscillation

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

doi:10.3934/math.2025332

AIMS Mathematics

2025, Volume 10, Issue 3: 7256-7268. doi: 10.3934/math.2025332

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Research article

Functional differential equations in the non-canonical case: New conditions for oscillation

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.
Jadara Research Center, Jadara University, Irbid 21110, Jordan

Received: 25 January 2025 Revised: 14 March 2025 Accepted: 20 March 2025 Published: 28 March 2025
MSC : 34C10, 34K11

In this paper, we study the oscillation of a class of second-order nonlinear differential equations with mixed neutral terms in the non-canonical case. New criteria are derived that ensure the oscillation of the studied equation. The results obtained here greatly improve and extend some of the results reported in previous studies. To illustrate this, we present some examples.
- functional differential equations,
- mixed neutral terms,
- second-order,
- oscillation
Citation: Abdulaziz khalid Alsharidi, Ali Muhib. Functional differential equations in the non-canonical case: New conditions for oscillation[J]. AIMS Mathematics, 2025, 10(3): 7256-7268. doi: 10.3934/math.2025332

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Abstract

In this paper, we study the oscillation of a class of second-order nonlinear differential equations with mixed neutral terms in the non-canonical case. New criteria are derived that ensure the oscillation of the studied equation. The results obtained here greatly improve and extend some of the results reported in previous studies. To illustrate this, we present some examples.

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