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The stability of the resonance set for a problem with jumping non-linearity

Published online by Cambridge University Press:  14 November 2011

Marcel d'Aujourd'hui
Marcel d'Aujourd'hui
Affiliation:
Département de Mathématiques, EPFL, CH-1015, Lausanne, Switzerland
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Synopsis

For Q ∊ L2(0, 1) we investigate the set Γ ∊ ℝ2 of pairs (α β,) for which the problem

has a nontrivial solution which has exactly one zero in (0,1) and is positive near x = 0. We show that Γ is stable in a certain sense under small perturbations of Q. The dependence of Γ upon Q is illustrated by an example.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 3-4 , 1987 , pp. 201 - 212
Copyright
Copyright © Royal Society of Edinburgh 1987

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References

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