Some results on boundary value problems for functional differential equations

Existence results for a second order boundary value problem for functional differential equation, are givn. The results are based on the nonlinear Alternative, of Leray-Schauder and rely on a priori bounds on solutions. These results are generalizations of recent results from ordinary differential e...

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Main Authors: P. Ch. Tsamatos, S. K. Ntouyas
Format: Article
Language:English
Published: Wiley 1996-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171296000476
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author P. Ch. Tsamatos
S. K. Ntouyas
author_facet P. Ch. Tsamatos
S. K. Ntouyas
author_sort P. Ch. Tsamatos
collection DOAJ
description Existence results for a second order boundary value problem for functional differential equation, are givn. The results are based on the nonlinear Alternative, of Leray-Schauder and rely on a priori bounds on solutions. These results are generalizations of recent results from ordinary differential equations and complete our earlier results on the same problem.
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institution Kabale University
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1687-0425
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publishDate 1996-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-d271106ea44948c8a0285cdcf03517932025-02-03T07:25:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119233534210.1155/S0161171296000476Some results on boundary value problems for functional differential equationsP. Ch. Tsamatos0S. K. Ntouyas1University of Loannina, Department of Mathematics, Loannina 451 10, GreeceUniversity of Loannina, Department of Mathematics, Loannina 451 10, GreeceExistence results for a second order boundary value problem for functional differential equation, are givn. The results are based on the nonlinear Alternative, of Leray-Schauder and rely on a priori bounds on solutions. These results are generalizations of recent results from ordinary differential equations and complete our earlier results on the same problem.http://dx.doi.org/10.1155/S0161171296000476boundary value problemsfunctional differential equationsa priori boundsLeray-Schauder alternative.
spellingShingle P. Ch. Tsamatos
S. K. Ntouyas
Some results on boundary value problems for functional differential equations
International Journal of Mathematics and Mathematical Sciences
boundary value problems
functional differential equations
a priori bounds
Leray-Schauder alternative.
title Some results on boundary value problems for functional differential equations
title_full Some results on boundary value problems for functional differential equations
title_fullStr Some results on boundary value problems for functional differential equations
title_full_unstemmed Some results on boundary value problems for functional differential equations
title_short Some results on boundary value problems for functional differential equations
title_sort some results on boundary value problems for functional differential equations
topic boundary value problems
functional differential equations
a priori bounds
Leray-Schauder alternative.
url http://dx.doi.org/10.1155/S0161171296000476
work_keys_str_mv AT pchtsamatos someresultsonboundaryvalueproblemsforfunctionaldifferentialequations
AT skntouyas someresultsonboundaryvalueproblemsforfunctionaldifferentialequations