New Results for Kneser Solutions of Third-Order Nonlinear Neutral Differential Equations

Osama Moaaz, Belgees Qaraad, Rami Ahmad El-Nabulsi and Omar Bazighifan
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Osama Moaaz: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Belgees Qaraad: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Rami Ahmad El-Nabulsi: Athens Institute for Education and Research, Mathematics and Physics Divisions, 10671 Athens, Greece
Omar Bazighifan: Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen

Mathematics, 2020, vol. 8, issue 5, 1-12

Abstract: In this paper, we consider a certain class of third-order nonlinear delay differential equations r w ″ α ′ v + q v x β ς v = 0 , for v ≥ v 0 , where w v = x v + p v x ϑ v . We obtain new criteria for oscillation of all solutions of this nonlinear equation. Our results complement and improve some previous results in the literature. An example is considered to illustrate our main results.

Keywords: oscillation criteria; thrid-order; delay differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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