Miroslav Bartušek, Zuzana Došlá, Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, CZ-611 37 Brno, Czech Republic, e-mail: bartusek@math.muni.cz, dosla@math.muni.cz; Mariella Cecchi, Mauro Marini, Department of Electronic and Telecommunications, University of Florence, I-50139 Florence, Italy, e-mail: mariella.cecchi@unifi.it, mauro.marini@unifi.it
Abstract: We study solutions tending to nonzero constants for the third order differential equation with the damping term
(a_1(t)(a_2(t)x'(t))')'+q(t)x'(t)+r(t)f(x(\varphi(t)))=0
in the case when the corresponding second order differential equation is oscillatory.
Keywords: third order differential equation, damping term, second order oscillatory equation, positive solution, asymptotic properties
Classification (MSC 2010): 34C10
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