Oscillation constant for modified Euler type half-linear equations

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Authors

VESELÝ Michal HASIL Petr

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

Faculty of Science

Citation
Field General mathematics
Keywords half-linear equations; Prufer angle; oscillation theory; conditional oscillation; oscillation constant
Description Applying the modified half-linear Prufer angle, we study oscillation properties of certain half-linear differential equations. We show that the considered equations are conditionally oscillatory in a very general case. Moreover, we identify the critical oscillation constant (the borderline which separates the oscillatory and non-oscillatory equations). The used method is different from the standard method based on the half-linear Prufer angle.
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