Abstract
The method of upper and lower solutions is presented for the xed point problem associated to operators which are compositions of a linear operator and a nonlinear mapping. Spectral properties of the linear part together with growth and monotonicity properties of the nonlinear part are involved. An application to singular boundary value problems is included.
Authors
Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Upper and lower solution; monotone iterative principle; fixed point; cone; positive solution; singular boundary value problem
Paper coordinates
R. Precup, Abstract method of upper and lower solutions and application to singular boundary value problems, Studia Univ. Babes-Bolyai Math. 61 (2016), 443-451.
About this paper
Journal
Studia Universitatis Babes-Bolyai Mathematica
Publisher Name
Babeș-Bolyai University
Print ISSN
0252-1938
Online ISSN
2065-961X
google scholar link
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