Existence theory for functional initial value problems of ordinary differential equations
In this paper the existence of a solution of general nonlinear functional differential equations is proved under mixed generalized Lipschitz and Carath\'eodory condition. An existence theorem for the extremal solutions is also proved under certain monotonicity and weaker continuity conditions....
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| Format: | Article |
| Language: | English |
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University of Szeged
2004-09-01
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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=203 |
| _version_ | 1797830794834608128 |
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| author | Bapurao Dhage |
| author_facet | Bapurao Dhage |
| author_sort | Bapurao Dhage |
| collection | DOAJ |
| description | In this paper the existence of a solution of general nonlinear functional differential equations is proved under mixed generalized Lipschitz and Carath\'eodory condition. An existence theorem for the extremal solutions is also proved under certain monotonicity and weaker continuity conditions. Examples are provided to illustrate the abstract theory developed in this paper. |
| first_indexed | 2024-04-09T13:41:49Z |
| format | Article |
| id | doaj.art-99a035b7a37647ec95d833f8111dcbb1 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:49Z |
| publishDate | 2004-09-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-99a035b7a37647ec95d833f8111dcbb12023-05-09T07:52:57ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752004-09-0120041511410.14232/ejqtde.2004.1.15203Existence theory for functional initial value problems of ordinary differential equationsBapurao Dhage0Kasubai, Gurukul Colony, Ahmedpur, Maharashtra, IndiaIn this paper the existence of a solution of general nonlinear functional differential equations is proved under mixed generalized Lipschitz and Carath\'eodory condition. An existence theorem for the extremal solutions is also proved under certain monotonicity and weaker continuity conditions. Examples are provided to illustrate the abstract theory developed in this paper.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=203 |
| spellingShingle | Bapurao Dhage Existence theory for functional initial value problems of ordinary differential equations Electronic Journal of Qualitative Theory of Differential Equations |
| title | Existence theory for functional initial value problems of ordinary differential equations |
| title_full | Existence theory for functional initial value problems of ordinary differential equations |
| title_fullStr | Existence theory for functional initial value problems of ordinary differential equations |
| title_full_unstemmed | Existence theory for functional initial value problems of ordinary differential equations |
| title_short | Existence theory for functional initial value problems of ordinary differential equations |
| title_sort | existence theory for functional initial value problems of ordinary differential equations |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=203 |
| work_keys_str_mv | AT bapuraodhage existencetheoryforfunctionalinitialvalueproblemsofordinarydifferentialequations |