Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients

In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with α—periodic positive coefficients. Additionall...

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Bibliographic Details
Main Authors: Misir Adil, Mermerkaya Banu
Format: Article
Language:English
Published: De Gruyter 2017-05-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0046
Description
Summary:In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with α—periodic positive coefficients. Additionally, our result is new and original in case that the least common multiple of these periods is not defined. We give an example and corollaries which illustrate cases that are solved with our result.
ISSN:2391-5455