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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Format: | Article |
Language: | English |
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SpringerOpen
2010-01-01
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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. |
first_indexed | 2024-04-13T08:03:36Z |
format | Article |
id | doaj.art-78260e91745f44d09203920a845b0cfa |
institution | Directory Open Access Journal |
issn | 1025-5834 1029-242X |
language | English |
last_indexed | 2024-04-13T08:03:36Z |
publishDate | 2010-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
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 |
work_keys_str_mv | AT donggunpark regularityforsolutionsofsecondordernonlinearintegrodifferentialfunctionalequations AT jinmunjeong regularityforsolutionsofsecondordernonlinearintegrodifferentialfunctionalequations AT hangeulkim regularityforsolutionsofsecondordernonlinearintegrodifferentialfunctionalequations |