Oscillation of Second-Order Differential Equations with Multiple and Mixed Delays under a Canonical Operator
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Oscillation of Second-Order Differential Equations with Multiple and Mixed Delays under a Canonical Operator

Shyam Sundar Santra;Rami Ahmad El-Nabulsi;Khaled Mohamed Khedher;Santra, Shyam Sundar;El-Nabulsi, Rami Ahmad;Khedher, Khaled Mohamed;
Mathematics 2021 Vol. 9 pp. 1323-
141
santra2021mathematicsoscillation

Abstract

In this work, we obtained new sufficient and necessary conditions for the oscillation of second-order differential equations with mixed and multiple delays under a canonical operator. Our methods could be applicable to find the sufficient and necessary conditions for any neutral differential equations. Furthermore, we proved the validity of the obtained results via particular examples. At the end of the paper, we provide the future scope of this study.

Keywords

oscillation nonlinear non-oscillation delay argument canonical

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DOI:
10.3390/math9121323
URL:
https://doi.org/10.3390/math9121323

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ID: 268238
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