Oscillation of Third-Order Differential Equations with Advanced Arguments

Munirah Aldiaiji, Belgees Qaraad (), Loredana Florentina Iambor (), Safi S. Rabie and Elmetwally M. Elabbasy
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Munirah Aldiaiji: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Belgees Qaraad: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Loredana Florentina Iambor: Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania
Safi S. Rabie: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Elmetwally M. Elabbasy: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

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

Abstract: The main objective of this work was to study some oscillatory and asymptotic properties of a new class of advanced neutral differential equations. Using new relations to link the solution and its corresponding function, we introduced new oscillatory criteria that aim to enhance, simplify, and complement some of current results. We provide some examples to demonstrate the significance of our results.

Keywords: third order; differential equations; neutral; advanced argument (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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