Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function

The initial value problem for a special kind of differential equations with a step function is studied. The monotone-iterative technique of Lakshmikantham for approximate finding of the solutions of the given problem is well grounded.

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Main Authors: S. G. Hristova, M. A. Rangelova
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202011699
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author S. G. Hristova
M. A. Rangelova
author_facet S. G. Hristova
M. A. Rangelova
author_sort S. G. Hristova
collection DOAJ
description The initial value problem for a special kind of differential equations with a step function is studied. The monotone-iterative technique of Lakshmikantham for approximate finding of the solutions of the given problem is well grounded.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2002-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-0b05e325660440eaa20772c775a754472025-02-03T06:11:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01301576210.1155/S0161171202011699Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step functionS. G. Hristova0M. A. Rangelova1Plovdiv University, Department of Applied Mathematics, Plovdiv 4000, BulgariaPlovdiv University, Faculty of Mathematics and Computer Science, Plovdiv 4000, BulgariaThe initial value problem for a special kind of differential equations with a step function is studied. The monotone-iterative technique of Lakshmikantham for approximate finding of the solutions of the given problem is well grounded.http://dx.doi.org/10.1155/S0161171202011699
spellingShingle S. G. Hristova
M. A. Rangelova
Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function
International Journal of Mathematics and Mathematical Sciences
title Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function
title_full Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function
title_fullStr Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function
title_full_unstemmed Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function
title_short Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function
title_sort monotone iterative technique of lakshmikantham for the initial value problem for a differential equation with a step function
url http://dx.doi.org/10.1155/S0161171202011699
work_keys_str_mv AT sghristova monotoneiterativetechniqueoflakshmikanthamfortheinitialvalueproblemforadifferentialequationwithastepfunction
AT marangelova monotoneiterativetechniqueoflakshmikanthamfortheinitialvalueproblemforadifferentialequationwithastepfunction