Regularity for Variational Evolution Integrodifferential Inequalities
We deal with the regularity for solutions of nonlinear functional integrodifferential equations governed by the variational inequality in a Hilbert space. Moreover, by using the simplest definition of interpolation spaces and the known regularity result, we also prove that the solution mapping from...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/797516 |
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| _version_ | 1832559892386283520 |
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| author | Yong Han Kang Jin-Mun Jeong |
| author_facet | Yong Han Kang Jin-Mun Jeong |
| author_sort | Yong Han Kang |
| collection | DOAJ |
| description | We deal with the regularity for solutions of nonlinear functional integrodifferential equations governed by the variational inequality in a Hilbert space. Moreover, by using the simplest definition of interpolation spaces and the known regularity result, we also prove that the solution mapping from the set of initial and forcing data to the state space of solutions is continuous, which very often arises in application. Finally, an example is also given to illustrate our main result. |
| format | Article |
| id | doaj-art-3f5249a0c2de4c4784e52d157f9907e5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3f5249a0c2de4c4784e52d157f9907e52025-02-03T01:28:57ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/797516797516Regularity for Variational Evolution Integrodifferential InequalitiesYong Han Kang0Jin-Mun Jeong1Institute of Liberal Education, Catholic University of Daegu, Daegue 712-702, Republic of KoreaDepartment of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of KoreaWe deal with the regularity for solutions of nonlinear functional integrodifferential equations governed by the variational inequality in a Hilbert space. Moreover, by using the simplest definition of interpolation spaces and the known regularity result, we also prove that the solution mapping from the set of initial and forcing data to the state space of solutions is continuous, which very often arises in application. Finally, an example is also given to illustrate our main result.http://dx.doi.org/10.1155/2012/797516 |
| spellingShingle | Yong Han Kang Jin-Mun Jeong Regularity for Variational Evolution Integrodifferential Inequalities Abstract and Applied Analysis |
| title | Regularity for Variational Evolution Integrodifferential Inequalities |
| title_full | Regularity for Variational Evolution Integrodifferential Inequalities |
| title_fullStr | Regularity for Variational Evolution Integrodifferential Inequalities |
| title_full_unstemmed | Regularity for Variational Evolution Integrodifferential Inequalities |
| title_short | Regularity for Variational Evolution Integrodifferential Inequalities |
| title_sort | regularity for variational evolution integrodifferential inequalities |
| url | http://dx.doi.org/10.1155/2012/797516 |
| work_keys_str_mv | AT yonghankang regularityforvariationalevolutionintegrodifferentialinequalities AT jinmunjeong regularityforvariationalevolutionintegrodifferentialinequalities |