Oscillatory Features of Fourth-Order Emden–Fowler Differential Equations with Sublinear Neutral Terms

Autor: Fahd Masood, Wedad Albalawi, Osama Moaaz, Hamdy El-Metwally
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Symmetry, Vol 16, Iss 7, p 933 (2024)
Druh dokumentu: article
ISSN: 16070933
2073-8994
DOI: 10.3390/sym16070933
Popis: This article examines the oscillatory characteristics of a fourth-order Emden–Fowler differential equation, specifically when it includes a sublinear neutral term. Our methodology centers on establishing multiple theorems that introduce innovative conditions to guarantee that there are no positive solutions to the examined equation. Due to the symmetry between non-oscillatory solutions, we obtain oscillation conditions by excluding only positive solutions. We employ the Riccati technique in various ways to achieve this objective. The criteria presented in this study complement and generalize many findings published in the literature. We support the efficiency of our findings by applying them to an example.
Databáze: Directory of Open Access Journals
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