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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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. |
format | Article |
id | doaj-art-ea34546aded94c7396efa79391efc093 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
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 |