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Generalized Prüfer angle and oscillation of half-linear differential equations

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DOŠLÝ Ondřej JAROŠ Jaroslav VESELÝ Michal

Year of publication 2017
Type Article in Periodical
Magazine / Source Applied Mathematics Letters
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Prüfer angle; half-linear equations; oscillation theory; conditional oscillation; oscillation constant
Description In this paper, we introduce a new modification of the half-linear Prüfer angle. Applying this modification, we investigate the conditional oscillation of half-linear second order differential equations. We present conditions on the coefficients of these equations which guarantee that the studied equations behave like the Euler equation, which is conditionally oscillatory.
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