Some oscillation theorems for nonlinear second-order differential equations with an advanced argument

Abstract The objective in this work is to study oscillation criteria for second-order quasi-linear differential equations with an advanced argument. We establish new oscillation criteria using both the comparison technique with first-order advanced differential inequalities and the Riccati transform...

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Bibliographic Details
Main Authors: G. E. Chatzarakis, O. Moaaz, T. Li, B. Qaraad
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-02626-9
Description
Summary:Abstract The objective in this work is to study oscillation criteria for second-order quasi-linear differential equations with an advanced argument. We establish new oscillation criteria using both the comparison technique with first-order advanced differential inequalities and the Riccati transformation. The established criteria improve, simplify and complement results that have been published recently in the literature. We illustrate the results by an example.
ISSN:1687-1847