POSITIVE SOLUTION FOR A SECOND ORDER BVP WITH SINGULAR SIGN-CHANGING NONLINEARITY

TitlePOSITIVE SOLUTION FOR A SECOND ORDER BVP WITH SINGULAR SIGN-CHANGING NONLINEARITY
Publication TypeJournal Article
Year of Publication2016
AuthorsBENMEZAI, A, HENDERSON, J
Secondary TitleCommunications in Applied Analysis
Volume20
Issue1
Start Page37
Pagination16
Date Published01/2016
Type of Workscientific: mathematics
ISSN1083-2564
AMS34B16, 34B18
Abstract

We discuss existence of at least one positive solution to the singular second-order two point boundary value problem,    − (pu′ ) ′ (t) = f(t, u(t)), t ∈ (0, 1), au(0) − b limt→0 p(t)u ′ (t) = 0, cu(1) + d limt→1 p(t)u ′ (t) = 0, where a, b, c, d ∈ [0, +∞), p : (0, 1) → [0, +∞) is a measurable function, and f : (0, 1) × R → R is a Carath´eodory function.
URLhttp://www.acadsol.eu/en/articles/20/1/4.pdf
DOI10.12732/caa.v20i1.4
Short TitlePOSITIVE SOLUTION FOR A SECOND ORDER BVP
Alternate JournalCAA
Refereed DesignationRefereed
Full Text

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