Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments

Osama Moaaz, Rami Ahmad El-Nabulsi, Waad Muhsin and Omar Bazighifan
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Osama Moaaz: 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
Waad Muhsin: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Omar Bazighifan: Department of Mathematics, Faculty of Science, Hadhramout University, 50512 Hadhramout, Yemen

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

Abstract: In this study, we establish new sufficient conditions for oscillation of solutions of second-order neutral differential equations with distributed deviating arguments. By employing a refinement of the Riccati transformations and comparison principles, we obtain new oscillation criteria that complement and improve some results reported in the literature. Examples are provided to illustrate the main results.

Keywords: deviating argument; second order; neutral differential equation; oscillation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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