Multivalued evolution equations with infinite delay in Fréchet spaces
In this paper, sufficient conditions are given to investigate the existence of mild solutions on a semi-infinite interval for two classes of first order semilinear functional and neutral functional differential evolution inclusions with infinite delay using a recent nonlinear alternative for contrac...
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| Format: | Article |
| Language: | English |
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University of Szeged
2008-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=348 |
| _version_ | 1797830807215144960 |
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| author | Selma BAGHLI-BENDIMERAD Mouffak Benchohra |
| author_facet | Selma BAGHLI-BENDIMERAD Mouffak Benchohra |
| author_sort | Selma BAGHLI-BENDIMERAD |
| collection | DOAJ |
| description | In this paper, sufficient conditions are given to investigate the existence of mild solutions on a semi-infinite interval for two classes of first order semilinear functional and neutral functional differential evolution inclusions with infinite delay using a recent nonlinear alternative for contractive multivalued maps in Fréchet spaces due to Frigon, combined with semigroup theory. |
| first_indexed | 2024-04-09T13:41:59Z |
| format | Article |
| id | doaj.art-d2200bc4b8ae42a39639faec6cb42dbd |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:59Z |
| publishDate | 2008-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-d2200bc4b8ae42a39639faec6cb42dbd2023-05-09T07:52:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752008-11-0120083312410.14232/ejqtde.2008.1.33348Multivalued evolution equations with infinite delay in Fréchet spacesSelma BAGHLI-BENDIMERAD0Mouffak Benchohra1Université de Sidi Bel Abbés, Sidi Bel Abbés, AlgérieUniversité de Sidi Bel Abbés, Sidi Bel Abbés, AlgérieIn this paper, sufficient conditions are given to investigate the existence of mild solutions on a semi-infinite interval for two classes of first order semilinear functional and neutral functional differential evolution inclusions with infinite delay using a recent nonlinear alternative for contractive multivalued maps in Fréchet spaces due to Frigon, combined with semigroup theory.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=348 |
| spellingShingle | Selma BAGHLI-BENDIMERAD Mouffak Benchohra Multivalued evolution equations with infinite delay in Fréchet spaces Electronic Journal of Qualitative Theory of Differential Equations |
| title | Multivalued evolution equations with infinite delay in Fréchet spaces |
| title_full | Multivalued evolution equations with infinite delay in Fréchet spaces |
| title_fullStr | Multivalued evolution equations with infinite delay in Fréchet spaces |
| title_full_unstemmed | Multivalued evolution equations with infinite delay in Fréchet spaces |
| title_short | Multivalued evolution equations with infinite delay in Fréchet spaces |
| title_sort | multivalued evolution equations with infinite delay in frechet spaces |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=348 |
| work_keys_str_mv | AT selmabaghlibendimerad multivaluedevolutionequationswithinfinitedelayinfrechetspaces AT mouffakbenchohra multivaluedevolutionequationswithinfinitedelayinfrechetspaces |