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Monotonicity conditions in oscillation to superlinear differential equations
Autoři | |
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Rok publikování | 2016 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Electronic Journal of Qualitative Theory of Differential Equations |
Fakulta / Pracoviště MU | |
Citace | |
www | http://www.math.u-szeged.hu/ejqtde/index.html |
Doi | http://dx.doi.org/10.14232/ejqtde.2016.1.54 |
Obor | Obecná matematika |
Klíčová slova | second order nonlinear differential equation; nonoscillatory solution; oscillatory solution; intermediate solution |
Popis | We consider the second order quasi-linear differential equation in the super-linear case. We prove the existence of the so-called intermediate solutions and we discuss their coexistence with other types of nonoscillatory and oscillatory solutions. Our results are new even for the Emden-Fowler equation. |