New Asymptotic Properties of Positive Solutions of Delay Differential Equations and Their Application

Osama Moaaz and Clemente Cesarano
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Osama Moaaz: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy

Mathematics, 2021, vol. 9, issue 16, 1-9

Abstract: In this study, new asymptotic properties of positive solutions of the even-order delay differential equation with the noncanonical operator are established. The new properties are of an iterative nature, which allows it to be applied several times. Moreover, we use these properties to obtain new criteria for the oscillation of the solutions of the studied equation using the principles of comparison.

Keywords: delay differential equation; even-order; asymptotic properties; oscillation; noncanonical case (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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