Asymptotic and oscillatory behavior of second order neutral quantum equations with maxima

In this study, the behavior of solutions to certain second order quantum ($q$-difference) equations with maxima are considered. In particular, the asymptotic behavior of non-oscillatory solutions is described, and sufficient conditions for oscillation of all solutions are obtained.

Bibliographic Details
Main Authors: Douglas Anderson, J. D. Kwiatkowski
Format: Article
Language:English
Published: University of Szeged 2009-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=369
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author Douglas Anderson
J. D. Kwiatkowski
author_facet Douglas Anderson
J. D. Kwiatkowski
author_sort Douglas Anderson
collection DOAJ
description In this study, the behavior of solutions to certain second order quantum ($q$-difference) equations with maxima are considered. In particular, the asymptotic behavior of non-oscillatory solutions is described, and sufficient conditions for oscillation of all solutions are obtained.
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spelling doaj.art-1f93f35a2aad404cb1344ee150305e5d2023-05-09T07:52:59ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752009-03-012009161910.14232/ejqtde.2009.1.16369Asymptotic and oscillatory behavior of second order neutral quantum equations with maximaDouglas Anderson0J. D. Kwiatkowski1Concordia College, Moorhead, MN, U.S.A.Concordia College, Moorhead, MN, U.S.A.In this study, the behavior of solutions to certain second order quantum ($q$-difference) equations with maxima are considered. In particular, the asymptotic behavior of non-oscillatory solutions is described, and sufficient conditions for oscillation of all solutions are obtained.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=369
spellingShingle Douglas Anderson
J. D. Kwiatkowski
Asymptotic and oscillatory behavior of second order neutral quantum equations with maxima
Electronic Journal of Qualitative Theory of Differential Equations
title Asymptotic and oscillatory behavior of second order neutral quantum equations with maxima
title_full Asymptotic and oscillatory behavior of second order neutral quantum equations with maxima
title_fullStr Asymptotic and oscillatory behavior of second order neutral quantum equations with maxima
title_full_unstemmed Asymptotic and oscillatory behavior of second order neutral quantum equations with maxima
title_short Asymptotic and oscillatory behavior of second order neutral quantum equations with maxima
title_sort asymptotic and oscillatory behavior of second order neutral quantum equations with maxima
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=369
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