Oscillation and non-oscillation of Euler type half-linear differential equations

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Authors

DOŠLÝ Ondřej VESELÝ Michal

Year of publication 2015
Type Article in Periodical
Magazine / Source Journal of Mathematical Analysis and Applications
MU Faculty or unit

Faculty of Science

Citation
Web http://www.sciencedirect.com/science/article/pii/S0022247X15003509
Doi http://dx.doi.org/10.1016/j.jmaa.2015.04.030
Field General mathematics
Keywords Half-linear equations; Oscillation theory; Conditional oscillation; Oscillation constant; Riccati equation; Prüfer angle
Description We investigate oscillatory properties of second order Euler type half-linear differential equations whose coefficients are given by periodic functions and functions having mean values. We prove the conditional oscillation of these equations. In addition, we prove that the known oscillation constants for the corresponding equations with only periodic coefficients do not change in the studied more general case. The presented results are new for linear equations as well.
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