Oscillatory solutions of nonlinear fourth order differential equations with a middle term

Autor: Miroslav Bartusek, Zuzana Dosla
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2014, Iss 55, Pp 1-9 (2014)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2014.1.55
Popis: We study the oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends oscillation criteria stated for equations with the operator $x^{(4)} + x''$ and completes the results stated for super-linear and sub-linear case. Oscillation results are new also for the linear equation.
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