Non-oscillation of half-linear differential equations with periodic coefficients

Investor logo
Investor logo

Warning

This publication doesn't include Faculty of Education. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

VESELÝ Michal HASIL Petr

Year of publication 2015
Type Article in Periodical
Magazine / Source Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit

Faculty of Science

Citation
Web http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3311
Doi http://dx.doi.org/10.14232/ejqtde.2015.1.1
Field General mathematics
Keywords half-linear equations; Euler type equations; oscillation theory; conditional oscillation; oscillation constant
Description We consider half-linear Euler type differential equations with general periodic coefficients. It is well-known that these equations are conditionally oscillatory, i.e., there exists a border value given by their coefficients which separates oscillatory equations from non-oscillatory ones. In this paper, we study oscillatory properties in the border case. More precisely, we prove that the considered equations are non-oscillatory in this case. Our results cover the situation when the periodic coefficients do not have any common period.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.