On the existence of positive solutions for nonlinear two-point boundary-value problems

<p/> <p>The paper suggests sufficient conditions for the existence of positive solutions to vector boundary-value problems for second-order differential equations. For potential problems we develop the approach which combines the classical variational method with methods of positive oper...

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Bibliographic Details
Main Authors: Rachinskii D, Mennicken R
Format: Article
Language:English
Published: SpringerOpen 2001-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://www.journalofinequalitiesandapplications.com/content/6/321686
Description
Summary:<p/> <p>The paper suggests sufficient conditions for the existence of positive solutions to vector boundary-value problems for second-order differential equations. For potential problems we develop the approach which combines the classical variational method with methods of positive operators. The results are then applied to nonpotential problems where the nonlinearities have potential minorants and majorants.</p>
ISSN:1025-5834
1029-242X