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

A. A. El-Gaber (), M. M. A. El-Sheikh, Haytham M. Rezk, Mohammed Zakarya, Ghada AlNemer and E. I. El-Saedy
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A. A. El-Gaber: Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt
M. M. A. El-Sheikh: Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt
Haytham M. Rezk: Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Egypt
Mohammed Zakarya: Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
Ghada AlNemer: Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
E. I. El-Saedy: Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt

Mathematics, 2024, vol. 12, issue 20, 1-16

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.

Keywords: oscillation; second order damped differential equations; neutral differential equations; sub-linear neutral terms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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