Electron. J. Differential Equations, Vol. 2022 (2022), No. 41, pp. 1-16.
Oscillation of modified Euler type half-linear differential equations via averaging technique
Petr Hasil, Jirina Sisolakova, Michal Vesely
Abstract:
In this article, we analyze the oscillation behavior of half-linear differential equation
Applying the modified half-linear Prufer angle and a general averaging technique
over unbounded intervals, we prove an oscillation criterion for the studied equation.
We point out that the presented oscillation criterion is new even in the linear case
when p=2.
Submitted August 7, 2021. Published June 27, 2022.
Math Subject Classifications: 34C10, 34C15.
Key Words: Half-linear equations; linear equations; Prufer angle;
oscillation criterion; averaging technique.
DOI: https://doi.org/10.58997/ejde.2022.41
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Petr Hasil
Department of Mathematics and Statistics
Faculty of Science, Masaryk University
Kotlárská 2, CZ 611 37 Brno, Czech Republic
email: hasil@mail.muni.cz
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Jirina Sisoláková
Department of Mathematics and Statistics
Faculty of Science, Masaryk University
Kotlárská 2, CZ 611 37 Brno, Czech Republic
email: jirinasisolakova@mail.muni.cz
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Michal Veselý
Department of Mathematics and Statistics
Faculty of Science, Masaryk University
Kotlárská 2, CZ 611 37 Brno, Czech Republic
email: michal.vesely@mail.muni.cz
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