An Oscillation Test for Solutions of Second-Order Neutral Differential Equations of Mixed Type

Osama Moaaz, Ali Muhib and Shyam S. Santra
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Osama Moaaz: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Ali Muhib: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Shyam S. Santra: Department of Mathematics, JIS College of Engineering, Kalyani 741235, India

Mathematics, 2021, vol. 9, issue 14, 1-14

Abstract: It is easy to notice the great recent development in the oscillation theory of neutral differential equations. The primary aim of this work is to extend this development to neutral differential equations of mixed type (including both delay and advanced terms). In this work, we consider the second-order non-canonical neutral differential equations of mixed type and establish a new single-condition criterion for the oscillation of all solutions. By using a different approach and many techniques, we obtain improved oscillation criteria that are easy to apply on different models of equations.

Keywords: non-canonical differential equations; second-order; neutral delay; mixed type; oscillation criteria (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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