On the Oscillatory Behavior of Solutions of Second-Order Damped Differential Equations with Several Sub-Linear Neutral Terms

The oscillation and asymptotic behavior of solutions of a general class of damped second-order differential equations with several sub-linear neutral terms is considered. New sufficient conditions are established to fulfill a part of the gap in the oscillation theory for the case of sub-linear neutral equations. Our main results improve and generalize some of those recently published in the literature. Several examples are given to support our results.

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Publication Details

Journal
Mathematics
Published
2024-10-14
DOI
https://doi.org/10.3390/math12203217
Citations
2
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
0.36

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article

On the Oscillatory Behavior of Solutions of Second-Order Damped Differential Equations with Several Sub-Linear Neutral Terms

Ghada AlNemer, Haytham M. Rezk, Mohammed Zakarya, A. A. El-Gaber et al.
2 citations
Mathematics
Advanced Mathematical Modeling in Engineering
0.36
article

On the Oscillatory Behavior of Solutions of Second-Order Damped Differential Equations with Several Sub-Linear Neutral Terms

Ghada AlNemer, Haytham M. Rezk, Mohammed Zakarya, A. A. El-Gaber, M. M. A. El-Sheikh, E. I. El-Saedy
article en
2 citations

Abstract

The oscillation and asymptotic behavior of solutions of a general class of damped second-order differential equations with several sub-linear neutral terms is considered. New sufficient conditions are established to fulfill a part of the gap in the oscillation theory for the case of sub-linear neutral equations. Our main results improve and generalize some of those recently published in the literature. Several examples are given to support our results.

MathematicsVol. 12(20)
Princess Nourah bint Abdulrahman University (SA), Al-Azhar University (EG), Menoufia University (EG), King Khalid University (SA)
Princess Nourah Bint Abdulrahman University, King Khalid University
Openalex Percentile: Top 35%
Advanced Mathematical Modeling in Engineering
0.36
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