Positive solutions of second order nonlinear difference boundary value problems

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...

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Main Authors: Qingkai Kong, Min Wang
Format: Article
Language:English
Published: University of Szeged 2009-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=420
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spelling doaj-451a46bbbc804054a32d1421c72d65322021-07-14T07:21:21ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752009-10-0120091811510.14232/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&paramtipus_ertek=publication&param_ertek=420
collection DOAJ
language English
format Article
sources DOAJ
author Qingkai Kong
Min Wang
spellingShingle Qingkai Kong
Min Wang
Positive solutions of second order nonlinear difference boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Qingkai Kong
Min Wang
author_sort Qingkai Kong
title Positive solutions of second order nonlinear difference boundary value problems
title_short 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_sort positive solutions of second order nonlinear difference boundary value problems
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2009-10-01
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.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=420
work_keys_str_mv AT qingkaikong positivesolutionsofsecondordernonlineardifferenceboundaryvalueproblems
AT minwang positivesolutionsofsecondordernonlineardifferenceboundaryvalueproblems
_version_ 1721303813201068032

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