Abstract method of upper and lower solutions and application to singular boundary value problems

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.

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About this paper

Journal

Studia Universitatis Babes-Bolyai Mathematica

Publisher Name

Babeș-Bolyai University

Print ISSN

0252-1938

Online ISSN

2065-961X

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