POSITIVE SOLUTIONS OF NONLOCAL MULTIPOINT BOUNDARY VALUE PROBLEMS

TitlePOSITIVE SOLUTIONS OF NONLOCAL MULTIPOINT BOUNDARY VALUE PROBLEMS
Publication TypeJournal Article
Year of Publication2015
AuthorsBoucherif, A
Volume19
Issue3
Start Page427
Pagination11
Date Published2015
ISSN1083-2564
AMS34B10, 34B18
Abstract

We investigate the existence of positive solutions of nonlocal multipoint boundary value problems for second order nonlinear differential equations. The nonlinearity depends on the derivative of the unknown function, and is allowed to change sign infinitely many times. We rely the method of lower and upper solutions to prove our main result. In fact, using the same technique, we obtain a multiplicity result without extra assumptions.

URLhttp://www.acadsol.eu/en/articles/19/3/8.pdf
Refereed DesignationRefereed
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