POSITIVE SOLUTIONS OF SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS

TitlePOSITIVE SOLUTIONS OF SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS
Publication TypeJournal Article
Year of Publication2011
AuthorsLAN, K
Volume15
Issue4
Start Page521
Pagination8
Date Published2011
ISSN1083-2564
AMS47H10, 47H30
Abstract

New results on existence of positive solutions in Lp (Ω, Rn) of systems of Hammerstein integral equations are obtained by using Leray-Schauder fixed point theorem. The principal eigenvalues of the corresponding linear Hammerstein integral equations are employed. Our results improve some previous results on existence of (not necessarily positive) solutions in L(Ω) of a single Hammerstein integral equation.

URLhttp://www.acadsol.eu/en/articles/15/4/7.pdf
Refereed DesignationRefereed
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