Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations

We deal with the well-posedness for solutions of nonlinear integrodifferential equations of second-order in Hilbert spaces by converting the problem into the contraction mapping principle with more general conditions on the principal operators and the nonlinear terms and obtain a variation of consta...

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Main Authors: Dong-Gun Park, Jin-Mun Jeong, Han-Geul Kim
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/280463
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author Dong-Gun Park
Jin-Mun Jeong
Han-Geul Kim
author_facet Dong-Gun Park
Jin-Mun Jeong
Han-Geul Kim
author_sort Dong-Gun Park
collection DOAJ
description We deal with the well-posedness for solutions of nonlinear integrodifferential equations of second-order in Hilbert spaces by converting the problem into the contraction mapping principle with more general conditions on the principal operators and the nonlinear terms and obtain a variation of constant formula of solutions of the given nonlinear equations.
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issn 1025-5834
1029-242X
language English
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spelling doaj.art-78260e91745f44d09203920a845b0cfa2022-12-22T02:55:13ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/280463Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional EquationsDong-Gun ParkJin-Mun JeongHan-Geul KimWe deal with the well-posedness for solutions of nonlinear integrodifferential equations of second-order in Hilbert spaces by converting the problem into the contraction mapping principle with more general conditions on the principal operators and the nonlinear terms and obtain a variation of constant formula of solutions of the given nonlinear equations.http://dx.doi.org/10.1155/2010/280463
spellingShingle Dong-Gun Park
Jin-Mun Jeong
Han-Geul Kim
Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations
Journal of Inequalities and Applications
title Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations
title_full Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations
title_fullStr Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations
title_full_unstemmed Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations
title_short Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations
title_sort regularity for solutions of second order nonlinear integrodifferential functional equations
url http://dx.doi.org/10.1155/2010/280463
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AT jinmunjeong regularityforsolutionsofsecondordernonlinearintegrodifferentialfunctionalequations
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