Limit-Point/Limit-Circle Results for Equations with Damping

The authors study the nonlinear limit-point and limit-circle properties for the second order nonlinear damped differential equation (a(t)|y'|p-1y')'+b(t)|y'|q-1y'+r(t)|y|λ-1y=0, where 0<λ≤p≤q, a(t)>0, and r(t)>0. Some examples are given to illustrate the main result...

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Main Authors: M. Bartušek, John R. Graef
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/979138
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author M. Bartušek
John R. Graef
author_facet M. Bartušek
John R. Graef
author_sort M. Bartušek
collection DOAJ
description The authors study the nonlinear limit-point and limit-circle properties for the second order nonlinear damped differential equation (a(t)|y'|p-1y')'+b(t)|y'|q-1y'+r(t)|y|λ-1y=0, where 0<λ≤p≤q, a(t)>0, and r(t)>0. Some examples are given to illustrate the main results.
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spelling doaj-art-ea34546aded94c7396efa79391efc0932025-02-03T06:13:51ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/979138979138Limit-Point/Limit-Circle Results for Equations with DampingM. Bartušek0John R. Graef1Faculty of Science, Masaryk University Brno, Kotlářská 2, 611 37 Brno, Czech RepublicDepartment of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USAThe authors study the nonlinear limit-point and limit-circle properties for the second order nonlinear damped differential equation (a(t)|y'|p-1y')'+b(t)|y'|q-1y'+r(t)|y|λ-1y=0, where 0<λ≤p≤q, a(t)>0, and r(t)>0. Some examples are given to illustrate the main results.http://dx.doi.org/10.1155/2012/979138
spellingShingle M. Bartušek
John R. Graef
Limit-Point/Limit-Circle Results for Equations with Damping
Abstract and Applied Analysis
title Limit-Point/Limit-Circle Results for Equations with Damping
title_full Limit-Point/Limit-Circle Results for Equations with Damping
title_fullStr Limit-Point/Limit-Circle Results for Equations with Damping
title_full_unstemmed Limit-Point/Limit-Circle Results for Equations with Damping
title_short Limit-Point/Limit-Circle Results for Equations with Damping
title_sort limit point limit circle results for equations with damping
url http://dx.doi.org/10.1155/2012/979138
work_keys_str_mv AT mbartusek limitpointlimitcircleresultsforequationswithdamping
AT johnrgraef limitpointlimitcircleresultsforequationswithdamping