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Positive solutions of superlinear boundary value problems

Published online by Cambridge University Press:  14 November 2011

Heinrich Voss
Heinrich Voss
Affiliation:
Fachbereich Mathematik, Universität Essen-GHS, Universitätsstrasse 3, D-4300 Essen 1, West Germany
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Synopsis

Using a fixed point theorem on operators expanding a cone in a Banach space we prove the existence of positive solutions of superlinear boundary value problems

At the same time we get bounds (or even inclusions) of positive solutions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 88 , Issue 1-2 , 1981 , pp. 17 - 24
Copyright
Copyright © Royal Society of Edinburgh 1981

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