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Open AccessArticle

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

by Osama Moaaz 1,†, Rami Ahmad El-Nabulsi 2,*,†, Waad Muhsin 1,† and Omar Bazighifan 3,4,†
1
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2
Athens Institute for Education and Research, Mathematics and Physics Divisions, 10671 Athens, Greece
3
Department of Mathematics, Faculty of Science, Hadhramout University, 50512 Hadhramout, Yemen
4
Department of Mathematics, Faculty of of Education, Seiyun University, 50512 Hadhramout, Yemen
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(5), 849; https://doi.org/10.3390/math8050849
Received: 17 April 2020 / Revised: 17 May 2020 / Accepted: 20 May 2020 / Published: 23 May 2020
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. View Full-Text
Keywords: deviating argument; second order; neutral differential equation; oscillation deviating argument; second order; neutral differential equation; oscillation
MDPI and ACS Style

Moaaz, O.; El-Nabulsi, R.A.; Muhsin, W.; Bazighifan, O. Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments. Mathematics 2020, 8, 849.

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