Abstract
In this paper, new oscillatory properties for fourth-order delay differential equations with p-Laplacian-like operators are established, using the Riccati transformation and comparison method. Moreover, our results are an extension and complement to previous results in the literature. We provide some examples to examine the applicability of our results.
Highlights
Delay differential equations arise in a variety of phenomena, including mixing liquids, economics problems, biology, medicine, physics, engineering and automatic control problems, as well as vibrational motion in flight and to explain human self-balancing; see [1,2]
Motivated by the reasons mentioned above, in this paper, we extend the results using Riccati and comparison techniques under (3) and (4). These results contribute to adding some important conditions that were previously studied in the subject of oscillation of differential equations with neutral terms
We study the asymptotic and oscillatory properties of solutions of the fourth-order delay differential equations with p-Laplacian-like operators
Summary
Delay differential equations arise in a variety of phenomena, including mixing liquids, economics problems, biology, medicine, physics, engineering and automatic control problems, as well as vibrational motion in flight and to explain human self-balancing; see [1,2]. The aim of this article is to study the oscillation conditions of differential equations with p-Laplacian-like operators: Academic Editor: Ioannis G. 0 with regard to jurisdictional claims in published maps and institutional affiliations. Throughout this work, we suppose the following hypotheses:. A solution w of (1) and (2) is said to be non-oscillatory if it is positive or negative; otherwise, it is said to be oscillatory. Equations (1) and (2) are called oscillatory if all of their solutions are oscillatory
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