Oscillatory Features of Fourth-Order Emden–Fowler Differential Equations with Sublinear Neutral Terms
Symmetry, ISSN: 2073-8994, Vol: 16, Issue: 7
2024
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Research Results from Mansoura University Update Understanding of Mathematics (Oscillatory Features of Fourth-Order Emden-Fowler Differential Equations with Sublinear Neutral Terms)
2024 AUG 13 (NewsRx) -- By a News Reporter-Staff News Editor at Math Daily News -- Current study results on mathematics have been published. According
Article Description
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.
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