Informace o publikaci

Peculiarities in power type comparison results for half-linear dynamic equations

Logo poskytovatele
Autoři

ŘEHÁK Pavel

Rok publikování 2012
Druh Článek v odborném periodiku
Časopis / Zdroj Rocky Mountain Journal of Mathematics
Fakulta / Pracoviště MU

Pedagogická fakulta

Citace
Obor Obecná matematika
Klíčová slova half-linear dynamic equation; time scale; comparison theorem
Popis We look for conditions guaranteeing that oscillatory properties of a half-linear dynamic equation are preserved when the power in the nonlinearities is changed. In particular, we discuss discrepancies (which indeed occur) between the results on different time scales. We provide an example showing an optimality of one of the assumptions. We also present one generalization of a standard Sturm-Picone type comparison theorem and give an important note on the smoothness condition for the coefficient in the leading term which concerns general theory of second order dynamic equations. Many of our observations are new also in the differential and difference equations cases.
Související projekty:

Používáte starou verzi internetového prohlížeče. Doporučujeme aktualizovat Váš prohlížeč na nejnovější verzi.

Další info