Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method

In this article, we give bounds for solutions to initial-value problems associated with nonlinear singular interface problems. The singular interface problem is described using a pair of dynamic equations on a time scale. The method of upper and lower solutions intertwined with monotone iterativ...

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Main Authors: D. K. K. Vamsi, Pallav Kumar Baruah
Format: Article
Language:English
Published: Texas State University 2010-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/109/abstr.html
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author D. K. K. Vamsi
Pallav Kumar Baruah
author_facet D. K. K. Vamsi
Pallav Kumar Baruah
author_sort D. K. K. Vamsi
collection DOAJ
description In this article, we give bounds for solutions to initial-value problems associated with nonlinear singular interface problems. The singular interface problem is described using a pair of dynamic equations on a time scale. The method of upper and lower solutions intertwined with monotone iterative technique is used.
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spelling doaj.art-ddf65c57a09e491aa5bea4e0abf27f9f2022-12-22T02:14:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-08-012010109,19Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative methodD. K. K. VamsiPallav Kumar BaruahIn this article, we give bounds for solutions to initial-value problems associated with nonlinear singular interface problems. The singular interface problem is described using a pair of dynamic equations on a time scale. The method of upper and lower solutions intertwined with monotone iterative technique is used.http://ejde.math.txstate.edu/Volumes/2010/109/abstr.htmlRegular problemssingular problemssingular interface problemsupper and lower solutionsmonotone iterative method
spellingShingle D. K. K. Vamsi
Pallav Kumar Baruah
Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method
Electronic Journal of Differential Equations
Regular problems
singular problems
singular interface problems
upper and lower solutions
monotone iterative method
title Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method
title_full Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method
title_fullStr Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method
title_full_unstemmed Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method
title_short Bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method
title_sort bounds for solutions of nonlinear singular interface problems on time scales using a monotone iterative method
topic Regular problems
singular problems
singular interface problems
upper and lower solutions
monotone iterative method
url http://ejde.math.txstate.edu/Volumes/2010/109/abstr.html
work_keys_str_mv AT dkkvamsi boundsforsolutionsofnonlinearsingularinterfaceproblemsontimescalesusingamonotoneiterativemethod
AT pallavkumarbaruah boundsforsolutionsofnonlinearsingularinterfaceproblemsontimescalesusingamonotoneiterativemethod