Upper and lower solutions for BVPs on the half-line with variable coefficient and derivative depending nonlinearity
This paper is concerned with a second-order nonlinear boundary value problem with a derivative depending nonlinearity and posed on the positive half-line. The derivative operator is time dependent. Upon a priori estimates and under a Nagumo growth condition, the Schauder's fixed point theorem c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2011-02-01
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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=570 |
| _version_ | 1797830692773560320 |
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| author | Smail Djebali S. Zahar |
| author_facet | Smail Djebali S. Zahar |
| author_sort | Smail Djebali |
| collection | DOAJ |
| description | This paper is concerned with a second-order nonlinear boundary value problem with a derivative depending nonlinearity and posed on the positive half-line. The derivative operator is time dependent. Upon a priori estimates and under a Nagumo growth condition, the Schauder's fixed point theorem combined with the method of upper and lower solutions on unbounded domains are used to prove existence of solutions. A uniqueness theorem is also obtained and some examples of application illustrate the obtained results. |
| first_indexed | 2024-04-09T13:40:09Z |
| format | Article |
| id | doaj.art-1abdfed5af944ea5b474208d7b467625 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:09Z |
| publishDate | 2011-02-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-1abdfed5af944ea5b474208d7b4676252023-05-09T07:53:00ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752011-02-0120111411810.14232/ejqtde.2011.1.14570Upper and lower solutions for BVPs on the half-line with variable coefficient and derivative depending nonlinearitySmail Djebali0S. Zahar1Department of Mathematics, Ecole Normale Superueure, Kouba, AlgeriaUniversity Abd-Errahmane Mira, Bejaia, AlgeriaThis paper is concerned with a second-order nonlinear boundary value problem with a derivative depending nonlinearity and posed on the positive half-line. The derivative operator is time dependent. Upon a priori estimates and under a Nagumo growth condition, the Schauder's fixed point theorem combined with the method of upper and lower solutions on unbounded domains are used to prove existence of solutions. A uniqueness theorem is also obtained and some examples of application illustrate the obtained results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=570 |
| spellingShingle | Smail Djebali S. Zahar Upper and lower solutions for BVPs on the half-line with variable coefficient and derivative depending nonlinearity Electronic Journal of Qualitative Theory of Differential Equations |
| title | Upper and lower solutions for BVPs on the half-line with variable coefficient and derivative depending nonlinearity |
| title_full | Upper and lower solutions for BVPs on the half-line with variable coefficient and derivative depending nonlinearity |
| title_fullStr | Upper and lower solutions for BVPs on the half-line with variable coefficient and derivative depending nonlinearity |
| title_full_unstemmed | Upper and lower solutions for BVPs on the half-line with variable coefficient and derivative depending nonlinearity |
| title_short | Upper and lower solutions for BVPs on the half-line with variable coefficient and derivative depending nonlinearity |
| title_sort | upper and lower solutions for bvps on the half line with variable coefficient and derivative depending nonlinearity |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=570 |
| work_keys_str_mv | AT smaildjebali upperandlowersolutionsforbvpsonthehalflinewithvariablecoefficientandderivativedependingnonlinearity AT szahar upperandlowersolutionsforbvpsonthehalflinewithvariablecoefficientandderivativedependingnonlinearity |