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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