Limit-Point/Limit-Circle Results for Superlinear Damped Equations

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

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Main Authors: M. Bartušek, John R. Graef
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/784761
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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 second-order nonlinear damped differential equations of the form (a(t)|y'|p-1y')'+b(t)|y'|q-1y'+r(t)|y|λ-1y=0, where 0<q≤p≤λ, a(t)>0, and r(t)>0. Examples to illustrate the main results are included.
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publishDate 2013-01-01
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spelling doaj-art-d65a96bd4d044acfacb1da562437ad312025-08-20T03:23:41ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/784761784761Limit-Point/Limit-Circle Results for Superlinear Damped EquationsM. 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 second-order nonlinear damped differential equations of the form (a(t)|y'|p-1y')'+b(t)|y'|q-1y'+r(t)|y|λ-1y=0, where 0<q≤p≤λ, a(t)>0, and r(t)>0. Examples to illustrate the main results are included.http://dx.doi.org/10.1155/2013/784761
spellingShingle M. Bartušek
John R. Graef
Limit-Point/Limit-Circle Results for Superlinear Damped Equations
Abstract and Applied Analysis
title Limit-Point/Limit-Circle Results for Superlinear Damped Equations
title_full Limit-Point/Limit-Circle Results for Superlinear Damped Equations
title_fullStr Limit-Point/Limit-Circle Results for Superlinear Damped Equations
title_full_unstemmed Limit-Point/Limit-Circle Results for Superlinear Damped Equations
title_short Limit-Point/Limit-Circle Results for Superlinear Damped Equations
title_sort limit point limit circle results for superlinear damped equations
url http://dx.doi.org/10.1155/2013/784761
work_keys_str_mv AT mbartusek limitpointlimitcircleresultsforsuperlineardampedequations
AT johnrgraef limitpointlimitcircleresultsforsuperlineardampedequations