Publication details

Conditional oscillation of Euler type half-linear differential equations with unbounded coefficients

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JAROŠ Jaroslav VESELÝ Michal

Year of publication 2016
Type Article in Periodical
Magazine / Source Studia Scientiarum Mathematicarum Hungarica
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords half-linear equations; oscillation theory; conditional oscillation; Prüfer angle; oscillation constant
Description The oscillatory properties of half-linear second order Euler type differential equations are studied, where the coefficients of the considered equations can be unbounded. For these equations, we prove an oscillation criterion and a non-oscillation one. We also mention a corollary which shows how our criteria improve the known results. In the corollary, the criteria give an explicit oscillation constant.
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