Property A of differential equations with positive and negative term

In the paper, we elaborate new technique for the investigation of the asymptotic properties for third order differential equations with positive and negative term \begin{equation*} \left(b(t)\left(a(t)x'(t)\right)'\right)'+p(t)f(x(\tau(t)))-q(t)h(x(\sigma(t)))=0. \end{equation*} We...

Full description

Bibliographic Details
Main Authors: Jozef Džurina, Blanka Baculíková
Format: Article
Language:English
Published: University of Szeged 2017-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5449
Description
Summary:In the paper, we elaborate new technique for the investigation of the asymptotic properties for third order differential equations with positive and negative term \begin{equation*} \left(b(t)\left(a(t)x'(t)\right)'\right)'+p(t)f(x(\tau(t)))-q(t)h(x(\sigma(t)))=0. \end{equation*} We offer new easily verifiable criteria for property A. We support our results with illustrative examples.
ISSN:1417-3875