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...

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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
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spelling doaj-f93cf965134e4f9f93468c103442d21f2021-07-14T07:21:29ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752017-04-012017271710.14232/ejqtde.2017.1.275449Property A of differential equations with positive and negative termJozef Džurina0Blanka Baculíková1Technical University of Kosice, Kosice, SlovakiaTechnical University of Kosice, Kosice, SlovakiaIn 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.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5449third order differential equationsdelay argumentproperty a
collection DOAJ
language English
format Article
sources DOAJ
author Jozef Džurina
Blanka Baculíková
spellingShingle Jozef Džurina
Blanka Baculíková
Property A of differential equations with positive and negative term
Electronic Journal of Qualitative Theory of Differential Equations
third order differential equations
delay argument
property a
author_facet Jozef Džurina
Blanka Baculíková
author_sort Jozef Džurina
title Property A of differential equations with positive and negative term
title_short Property A of differential equations with positive and negative term
title_full Property A of differential equations with positive and negative term
title_fullStr Property A of differential equations with positive and negative term
title_full_unstemmed Property A of differential equations with positive and negative term
title_sort property a of differential equations with positive and negative term
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2017-04-01
description 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.
topic third order differential equations
delay argument
property a
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5449
work_keys_str_mv AT jozefdzurina propertyaofdifferentialequationswithpositiveandnegativeterm
AT blankabaculikova propertyaofdifferentialequationswithpositiveandnegativeterm
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