Adapted Riccati technique and non-oscillation of linear and half-linear equations

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Authors

HASIL Petr JURÁNEK Jakub VESELÝ Michal

Year of publication 2018
Type Article in Periodical
Magazine / Source Applied Mathematics Letters
MU Faculty or unit

Faculty of Science

Citation
Web http://dx.doi.org/10.1016/j.aml.2018.03.003
Doi http://dx.doi.org/10.1016/j.aml.2018.03.003
Keywords Riccati technique; p-Laplacian; half-linear equation; non-oscillation criterion; Riccati equation; oscillation theory; linear differential equation
Description The aim of this paper is to mention a generalization of the adapted Riccati equation and, using this method, to prove a non-oscillatory result concerning half-linear differential equations with coefficients having mean values. Note that this result is new even for linear equations.
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