Positive solutions of second order nonlinear difference boundary value problems
We study a class of second order nonlinear difference boundary value problems with separated boundary conditions. A series of criteria are obtained for the existence of one, two, arbitrary number, and even an infinite number of positive solutions. A theorem for the nonexistence of positive solutions...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2009-10-01
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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=420 |
| _version_ | 1797830706498371584 |
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| author | Qingkai Kong Min Wang |
| author_facet | Qingkai Kong Min Wang |
| author_sort | Qingkai Kong |
| collection | DOAJ |
| description | We study a class of second order nonlinear difference boundary value problems with separated boundary conditions. A series of criteria are obtained for the existence of one, two, arbitrary number, and even an infinite number of positive solutions. A theorem for the nonexistence of positive solutions is also derived. Several examples are given to demonstrate the applications. Our results improve and supplement several results in the literature. |
| first_indexed | 2024-04-09T13:41:28Z |
| format | Article |
| id | doaj.art-451a46bbbc804054a32d1421c72d6532 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:28Z |
| publishDate | 2009-10-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-451a46bbbc804054a32d1421c72d65322023-05-09T07:52:59ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752009-10-0120091811510.14232/ejqtde.2009.4.18420Positive solutions of second order nonlinear difference boundary value problemsQingkai Kong0Min Wang1Northern Illinois University, DeKalb, IL, U.S.A.University of Tennessee at Chattanooga, Chattanooga, TN, U.S.A.We study a class of second order nonlinear difference boundary value problems with separated boundary conditions. A series of criteria are obtained for the existence of one, two, arbitrary number, and even an infinite number of positive solutions. A theorem for the nonexistence of positive solutions is also derived. Several examples are given to demonstrate the applications. Our results improve and supplement several results in the literature.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=420 |
| spellingShingle | Qingkai Kong Min Wang Positive solutions of second order nonlinear difference boundary value problems Electronic Journal of Qualitative Theory of Differential Equations |
| title | Positive solutions of second order nonlinear difference boundary value problems |
| title_full | Positive solutions of second order nonlinear difference boundary value problems |
| title_fullStr | Positive solutions of second order nonlinear difference boundary value problems |
| title_full_unstemmed | Positive solutions of second order nonlinear difference boundary value problems |
| title_short | Positive solutions of second order nonlinear difference boundary value problems |
| title_sort | positive solutions of second order nonlinear difference boundary value problems |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=420 |
| work_keys_str_mv | AT qingkaikong positivesolutionsofsecondordernonlineardifferenceboundaryvalueproblems AT minwang positivesolutionsofsecondordernonlineardifferenceboundaryvalueproblems |