On Lyapunov inequality in stability theory for Hill's equation on time scales

<p/> <p>In this paper we obtain sufficient conditions for instability and stability to hold for second order linear <inline-formula><graphic file="1029-242X-2000-814536-i1.gif"/></inline-formula>-differential equations on time scales with periodic coefficients...

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Main Authors: Kaymak&#231;alan B, Atici F Merdivenci, Guseinov G Sh
Format: Article
Language:English
Published: SpringerOpen 2000-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://www.journalofinequalitiesandapplications.com/content/5/814536
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author Kaymak&#231;alan B
Atici F Merdivenci
Guseinov G Sh
author_facet Kaymak&#231;alan B
Atici F Merdivenci
Guseinov G Sh
author_sort Kaymak&#231;alan B
collection DOAJ
description <p/> <p>In this paper we obtain sufficient conditions for instability and stability to hold for second order linear <inline-formula><graphic file="1029-242X-2000-814536-i1.gif"/></inline-formula>-differential equations on time scales with periodic coefficients.</p>
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1029-242X
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spelling doaj.art-2999c88b053548ae825516b83e60fe412022-12-22T00:40:40ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2000-01-0120006814536On Lyapunov inequality in stability theory for Hill's equation on time scalesKaymak&#231;alan BAtici F MerdivenciGuseinov G Sh<p/> <p>In this paper we obtain sufficient conditions for instability and stability to hold for second order linear <inline-formula><graphic file="1029-242X-2000-814536-i1.gif"/></inline-formula>-differential equations on time scales with periodic coefficients.</p>http://www.journalofinequalitiesandapplications.com/content/5/814536Time scalePeriodicityStabilityGeneralized zero
spellingShingle Kaymak&#231;alan B
Atici F Merdivenci
Guseinov G Sh
On Lyapunov inequality in stability theory for Hill's equation on time scales
Journal of Inequalities and Applications
Time scale
Periodicity
Stability
Generalized zero
title On Lyapunov inequality in stability theory for Hill's equation on time scales
title_full On Lyapunov inequality in stability theory for Hill's equation on time scales
title_fullStr On Lyapunov inequality in stability theory for Hill's equation on time scales
title_full_unstemmed On Lyapunov inequality in stability theory for Hill's equation on time scales
title_short On Lyapunov inequality in stability theory for Hill's equation on time scales
title_sort on lyapunov inequality in stability theory for hill s equation on time scales
topic Time scale
Periodicity
Stability
Generalized zero
url http://www.journalofinequalitiesandapplications.com/content/5/814536
work_keys_str_mv AT kaymak231alanb onlyapunovinequalityinstabilitytheoryforhillsequationontimescales
AT aticifmerdivenci onlyapunovinequalityinstabilitytheoryforhillsequationontimescales
AT guseinovgsh onlyapunovinequalityinstabilitytheoryforhillsequationontimescales