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Quadratic forms, weighted eigenfunctions and boundary value problems for non-linear second order ordinary differential equations

Published online by Cambridge University Press:  14 November 2011

Alessandro Fonda  and
Jean Mawhin
Alessandro Fonda
Affiliation:
Institute of Mathematics, Chemin du Cyclotron 2, B1348 Louvain-la-Neuve, Belgium
Jean Mawhin
Affiliation:
Institute of Mathematics, Chemin du Cyclotron 2, B1348 Louvain-la-Neuve, Belgium
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Synopsis

Some known results for different kinds of boundary value problems for second order ordinary differential equations are generalised. Different approaches are compared with one another, using topological and variational methods and the theory of weighted eigenvalue problems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 112 , Issue 1-2 , 1989 , pp. 145 - 153
Copyright
Copyright © Royal Society of Edinburgh 1989

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