First order systems of odes with nonlinear nonlocal boundary conditions
In this article, we prove existence of solutions for a nonlocal boundary value problem with nonlinearity in a nonlocal condition. Our method is based upon Mawhin's coincidence theory.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2015-10-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4094 |
| _version_ | 1797830603442225152 |
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| author | Igor Kossowski Bogdan Przeradzki |
| author_facet | Igor Kossowski Bogdan Przeradzki |
| author_sort | Igor Kossowski |
| collection | DOAJ |
| description | In this article, we prove existence of solutions for a nonlocal boundary value problem with nonlinearity in a nonlocal condition. Our method is based upon Mawhin's coincidence theory. |
| first_indexed | 2024-04-09T13:38:45Z |
| format | Article |
| id | doaj.art-c74bbfe881644da6a13bc1989039d902 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:45Z |
| publishDate | 2015-10-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-c74bbfe881644da6a13bc1989039d9022023-05-09T07:53:05ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752015-10-0120157311010.14232/ejqtde.2015.1.734094First order systems of odes with nonlinear nonlocal boundary conditionsIgor Kossowski0Bogdan Przeradzki1Technical University of Łódź, Institute of Mathematics, Wólczańska 215, Łódz, 93–005, PolandTechnical University of Łódź, Institute of Mathematics, Wólczańska 215, Łódz, 93–005, PolandIn this article, we prove existence of solutions for a nonlocal boundary value problem with nonlinearity in a nonlocal condition. Our method is based upon Mawhin's coincidence theory.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4094fredholm operator index zeromawhin theoremnonlocal bvp |
| spellingShingle | Igor Kossowski Bogdan Przeradzki First order systems of odes with nonlinear nonlocal boundary conditions Electronic Journal of Qualitative Theory of Differential Equations fredholm operator index zero mawhin theorem nonlocal bvp |
| title | First order systems of odes with nonlinear nonlocal boundary conditions |
| title_full | First order systems of odes with nonlinear nonlocal boundary conditions |
| title_fullStr | First order systems of odes with nonlinear nonlocal boundary conditions |
| title_full_unstemmed | First order systems of odes with nonlinear nonlocal boundary conditions |
| title_short | First order systems of odes with nonlinear nonlocal boundary conditions |
| title_sort | first order systems of odes with nonlinear nonlocal boundary conditions |
| topic | fredholm operator index zero mawhin theorem nonlocal bvp |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4094 |
| work_keys_str_mv | AT igorkossowski firstordersystemsofodeswithnonlinearnonlocalboundaryconditions AT bogdanprzeradzki firstordersystemsofodeswithnonlinearnonlocalboundaryconditions |