A functional integral inclusion involving Carathéodories
In this paper the existence of extremal solutions of a functional integral inclusion involving Carathéodory is proved under certain monotonicity conditions. Applications are given to some initial and boundary value problems of ordinary differential inclusion for proving the existence of extremal sol...
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| Format: | Article |
| Language: | English |
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University of Szeged
2003-09-01
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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=146 |
| _version_ | 1797830787509256192 |
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| author | Bapurao Dhage |
| author_facet | Bapurao Dhage |
| author_sort | Bapurao Dhage |
| collection | DOAJ |
| description | In this paper the existence of extremal solutions of a functional integral inclusion involving Carathéodory is proved under certain monotonicity conditions. Applications are given to some initial and boundary value problems of ordinary differential inclusion for proving the existence of extremal solutions. Our results generalize the results of Dhage [8] under weaker conditions and complement the results of O'Regan [16]. |
| first_indexed | 2024-04-09T13:41:42Z |
| format | Article |
| id | doaj.art-7bd75213502c40c3b40a1e275bebc515 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:42Z |
| publishDate | 2003-09-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-7bd75213502c40c3b40a1e275bebc5152023-05-09T07:52:57ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752003-09-0120031411810.14232/ejqtde.2003.1.14146A functional integral inclusion involving CarathéodoriesBapurao Dhage0Kasubai, Gurukul Colony, Ahmedpur, Maharashtra, IndiaIn this paper the existence of extremal solutions of a functional integral inclusion involving Carathéodory is proved under certain monotonicity conditions. Applications are given to some initial and boundary value problems of ordinary differential inclusion for proving the existence of extremal solutions. Our results generalize the results of Dhage [8] under weaker conditions and complement the results of O'Regan [16].http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=146 |
| spellingShingle | Bapurao Dhage A functional integral inclusion involving Carathéodories Electronic Journal of Qualitative Theory of Differential Equations |
| title | A functional integral inclusion involving Carathéodories |
| title_full | A functional integral inclusion involving Carathéodories |
| title_fullStr | A functional integral inclusion involving Carathéodories |
| title_full_unstemmed | A functional integral inclusion involving Carathéodories |
| title_short | A functional integral inclusion involving Carathéodories |
| title_sort | functional integral inclusion involving caratheodories |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=146 |
| work_keys_str_mv | AT bapuraodhage afunctionalintegralinclusioninvolvingcaratheodories AT bapuraodhage functionalintegralinclusioninvolvingcaratheodories |