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

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Authors

HASIL Petr VESELÝ Michal

Year of publication 2015
Type Article in Periodical
Magazine / Source Advances in Difference Equations
MU Faculty or unit

Faculty of Science

Citation
Web http://www.advancesindifferenceequations.com/content/2015/1/190
Doi http://dx.doi.org/10.1186/s13662-015-0533-4
Field General mathematics
Keywords half-linear equations; oscillation theory; conditional oscillation; Prüfer angle; Riccati equation
Description We investigate perturbed second order Euler type half-linear differential equations with periodic coefficients and with the perturbations given by the finite sums of periodic functions which do not need to have any common period. Our main interest is to study the oscillatory properties of the equations in the case when the coefficients give exactly the critical oscillation constant. We prove that any of the considered equations is non-oscillatory in this case.
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