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


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.


Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania


Upper and lower solution; monotone iterative principle; fixed point; cone; positive solution; singular boundary value problem

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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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Studia Universitatis Babes-Bolyai Mathematica

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Babeș-Bolyai University

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