BOUNDARY VALUE PROBLEMS WITH VANISHING GREEN’S FUNCTION

TitleBOUNDARY VALUE PROBLEMS WITH VANISHING GREEN’S FUNCTION
Publication TypeJournal Article
Year of Publication2009
AuthorsWEBB, JRL
Volume13
Issue4
Start Page587
Pagination9
Date Published2009
ISSN1083-2564
AMS34B16, 34B18
Abstract

We study positive solutions of integral equations in C[0, 1] where the kernel (Green’s function of the corresponding boundary value problem) is supposed to be non-negative on [0, 1 ]× [0, 1] but may vanish at some interior points which prevents use of some standard cones. We prove existence of one or two positive solution under some conditions which can be sharp.

URLhttp://www.acadsol.eu/en/articles/13/4/10.pdf
Refereed DesignationRefereed
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