Second-Order Neutral Differential Equations with Distributed Deviating Arguments: Oscillatory Behavior

Asma Al-Jaser, Belgees Qaraad, Omar Bazighifan and Loredana Florentina Iambor ()
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Asma Al-Jaser: Department of Mathematical Science, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Belgees Qaraad: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Omar Bazighifan: Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
Loredana Florentina Iambor: Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania

Mathematics, 2023, vol. 11, issue 12, 1-15

Abstract: In this paper, new criteria for a class oscillation of second-order delay differential equations with distributed deviating arguments were established. Our method mainly depends on making sharper estimates for the non-oscillatory solutions of the studied equation. By using the Ricati technique and comparison theorems that compare the studied equations with first-order delay differential equations, we obtained new and less restrictive conditions that ensure the oscillation of all solutions of the studied equation. Further, we give an illustrative example.

Keywords: neutral; second-order; distributed deviating arguments; oscillation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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