On the Positive Decreasing Solutions of Half-Linear Delay Differential Equations of Even Order

Ghada AlNemer, Waed Muhsin, Osama Moaaz () and Elmetwally M. Elabbasy
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Ghada AlNemer: Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 105862, Riyadh 11656, Saudi Arabia
Waed Muhsin: Department of Mathematics, Faculty of Science, University of Tripoli, Tripoli 13275, Libya
Osama Moaaz: Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
Elmetwally M. Elabbasy: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Mathematics, 2023, vol. 11, issue 6, 1-12

Abstract: In this paper, we derive new properties for the decreasing positive solutions of half-linear delay differential equations of even order. The positive-decreasing solutions have a great influence on the study of qualitative properties, which include oscillation, convergence, etc.; therefore, we take care of finding sufficient conditions to exclude these solutions. In addition, we present new criteria for testing the oscillation of the studied equation.

Keywords: differential equations of even order; decreasing positive solutions; oscillatory behavior; non-canonical (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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