Existence theory for nonlinear functional boundary value problems
In this paper the existence of a solution of a general nonlinear functional two point boundary value problem is proved under mixed generalized Lipschitz and Carath\'eodory conditions. An existence theorem for extremal solutions is also proved under certain monotonicity and weaker continuity c...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2004-01-01
|
| 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=175 |
| _version_ | 1797830779638644736 |
|---|---|
| author | Bapurao Dhage Johnny Henderson |
| author_facet | Bapurao Dhage Johnny Henderson |
| author_sort | Bapurao Dhage |
| collection | DOAJ |
| description | In this paper the existence of a solution of a general nonlinear functional two point boundary value problem is proved under mixed generalized Lipschitz and Carath\'eodory conditions. An existence theorem for extremal solutions is also proved under certain monotonicity and weaker continuity conditions. Examples are provided to illustrate the theory developed in this paper. |
| first_indexed | 2024-04-09T13:41:35Z |
| format | Article |
| id | doaj.art-67c4a0395e8f4456a65a73620d4e88bb |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:35Z |
| publishDate | 2004-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-67c4a0395e8f4456a65a73620d4e88bb2023-05-09T07:52:57ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752004-01-012004111510.14232/ejqtde.2004.1.1175Existence theory for nonlinear functional boundary value problemsBapurao Dhage0Johnny Henderson1Kasubai, Gurukul Colony, Ahmedpur, Maharashtra, IndiaDepartment of Mathematics, Baylor University, Waco, TX, U.S.A.In this paper the existence of a solution of a general nonlinear functional two point boundary value problem is proved under mixed generalized Lipschitz and Carath\'eodory conditions. An existence theorem for extremal solutions is also proved under certain monotonicity and weaker continuity conditions. Examples are provided to illustrate the theory developed in this paper.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=175 |
| spellingShingle | Bapurao Dhage Johnny Henderson Existence theory for nonlinear functional boundary value problems Electronic Journal of Qualitative Theory of Differential Equations |
| title | Existence theory for nonlinear functional boundary value problems |
| title_full | Existence theory for nonlinear functional boundary value problems |
| title_fullStr | Existence theory for nonlinear functional boundary value problems |
| title_full_unstemmed | Existence theory for nonlinear functional boundary value problems |
| title_short | Existence theory for nonlinear functional boundary value problems |
| title_sort | existence theory for nonlinear functional boundary value problems |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=175 |
| work_keys_str_mv | AT bapuraodhage existencetheoryfornonlinearfunctionalboundaryvalueproblems AT johnnyhenderson existencetheoryfornonlinearfunctionalboundaryvalueproblems |