Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities

We study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.

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Main Author: Juan J. Nieto
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171295000974
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author Juan J. Nieto
author_facet Juan J. Nieto
author_sort Juan J. Nieto
collection DOAJ
description We study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.
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institution Kabale University
issn 0161-1712
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language English
publishDate 1995-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-7437412854cc4b4186aeb93499b0b4b32025-02-03T05:54:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118475776410.1155/S0161171295000974Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearitiesJuan J. Nieto0Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, SpainWe study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.http://dx.doi.org/10.1155/S0161171295000974
spellingShingle Juan J. Nieto
Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities
International Journal of Mathematics and Mathematical Sciences
title Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities
title_full Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities
title_fullStr Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities
title_full_unstemmed Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities
title_short Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities
title_sort periodic boundary value problem for second order integro ordinary differential equations with general kernel and caratheodory nonlinearities
url http://dx.doi.org/10.1155/S0161171295000974
work_keys_str_mv AT juanjnieto periodicboundaryvalueproblemforsecondorderintegroordinarydifferentialequationswithgeneralkernelandcaratheodorynonlinearities