Conditional oscillation of half-linear differential equations with coefficients having mean values

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Authors

HASIL Petr MAŘÍK Robert VESELÝ Michal

Year of publication 2014
Type Article in Periodical
Magazine / Source Abstract and Applied Analysis
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1155/2014/258159
Field General mathematics
Keywords half-linear equation; oscillation theory; conditional oscillation; oscillation constant; Euler equation; Riccati technique
Description In the paper, we prove that the existence of the mean values of coefficients is sufficient for second order half-linear Euler-type differential equations to be conditionally oscillatory. We explicitly find an oscillation constant even for the considered equations whose coefficients can change sign. Our results cover known results concerning periodic and almost periodic positive coefficients and extend them.
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