Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments

Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments

We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function an...

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Main Authors: Juan J. Nieto, Rosana Rodríguez-López
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/851691
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spelling doaj-710561f4e620437d9026667b780ace682020-11-24T20:56:49ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/851691851691Study of Solutions to Some Functional Differential Equations with Piecewise Constant ArgumentsJuan J. Nieto0Rosana Rodríguez-López1Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, SpainDepartamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, SpainWe provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function and the derivative of the state function. A similar nonhomogeneous problem is also discussed.http://dx.doi.org/10.1155/2012/851691
collection DOAJ
language English
format Article
sources DOAJ
author Juan J. Nieto
Rosana Rodríguez-López
spellingShingle Juan J. Nieto
Rosana Rodríguez-López
Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments
Abstract and Applied Analysis
author_facet Juan J. Nieto
Rosana Rodríguez-López
author_sort Juan J. Nieto
title Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments
title_short Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments
title_full Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments
title_fullStr Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments
title_full_unstemmed Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments
title_sort study of solutions to some functional differential equations with piecewise constant arguments
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function and the derivative of the state function. A similar nonhomogeneous problem is also discussed.
url http://dx.doi.org/10.1155/2012/851691
work_keys_str_mv AT juanjnieto studyofsolutionstosomefunctionaldifferentialequationswithpiecewiseconstantarguments
AT rosanarodriguezlopez studyofsolutionstosomefunctionaldifferentialequationswithpiecewiseconstantarguments
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