Publication details

Averaging technique and oscillation criterion for linear and half-linear equations

Authors

HASIL Petr ŠIŠOLÁKOVÁ Jiřina VESELÝ Michal

Year of publication 2019
Type Article in Periodical
Magazine / Source Applied Mathematics Letters
MU Faculty or unit

Faculty of Science

Citation
Web Full Text
Doi http://dx.doi.org/10.1016/j.aml.2019.01.013
Keywords Half-linear equations; Linear differential equations; Averaging technique; Prüfer angle; Oscillation criterion
Description Using a general averaging technique for the generalized adapted Prüfer angle, we prove an oscillation criterion concerning half-linear second order differential equations, where the coefficients r and s are continuous functions. We find simple conditions on r, s which imply that the considered equations are oscillatory. The obtained result is new even in the linear case.
Related projects: