First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities
In this paper some existence theorems for the first order differential equations in Banach algebras is proved under the mixed generalized Lipschitz, Carathéodory and monotonicity conditions.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2005-11-01
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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=232 |
| _version_ | 1797830778296467456 |
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| author | Bapurao Dhage B. D. Karande |
| author_facet | Bapurao Dhage B. D. Karande |
| author_sort | Bapurao Dhage |
| collection | DOAJ |
| description | In this paper some existence theorems for the first order differential equations in Banach algebras is proved under the mixed generalized Lipschitz, Carathéodory and monotonicity conditions. |
| first_indexed | 2024-04-09T13:41:34Z |
| format | Article |
| id | doaj.art-5fc1ea37fcd34695a110d5058029477d |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:34Z |
| publishDate | 2005-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-5fc1ea37fcd34695a110d5058029477d2023-05-09T07:52:57ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752005-11-0120052111610.14232/ejqtde.2005.1.21232First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearitiesBapurao Dhage0B. D. Karande1Kasubai, Gurukul Colony, Ahmedpur, Maharashtra, IndiaKasubai, Gurucul Colony, Maharashtra, IndiaIn this paper some existence theorems for the first order differential equations in Banach algebras is proved under the mixed generalized Lipschitz, Carathéodory and monotonicity conditions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=232 |
| spellingShingle | Bapurao Dhage B. D. Karande First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities Electronic Journal of Qualitative Theory of Differential Equations |
| title | First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities |
| title_full | First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities |
| title_fullStr | First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities |
| title_full_unstemmed | First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities |
| title_short | First order integro-differential equations in Banach algebras involving Caratheodory and discontinuous nonlinearities |
| title_sort | first order integro differential equations in banach algebras involving caratheodory and discontinuous nonlinearities |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=232 |
| work_keys_str_mv | AT bapuraodhage firstorderintegrodifferentialequationsinbanachalgebrasinvolvingcaratheodoryanddiscontinuousnonlinearities AT bdkarande firstorderintegrodifferentialequationsinbanachalgebrasinvolvingcaratheodoryanddiscontinuousnonlinearities |