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Oscillation for higher order differential equations with a middle term
Autoři | |
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Rok publikování | 2014 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Boundary Value Problems |
Fakulta / Pracoviště MU | |
Citace | |
www | http://www.boundaryvalueproblems.com/content/2014/1/48 |
Doi | http://dx.doi.org/10.1186/1687-2770-2014-48 |
Obor | Obecná matematika |
Klíčová slova | Higher order nonlinear differential equation; middle term; oscillation; |
Popis | We study the existence of bounded oscillatory solutions for a higher order differential equation, considered as a perturbation of an associated linear equation. Jointly with this, we study the nonexistence of solutions vanishing at infinity and, as an application, we obtain in the linear case an asymptotic equivalency criterion. |
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