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On a nonlinear eigenvalue problem occurring in population genetics

Published online by Cambridge University Press:  14 November 2011

Ph. Clément  and
L. A. Peletier
Ph. Clément
Affiliation:
Delft University of Technology, Delft, The Netherlands
L. A. Peletier
Affiliation:
University of Leiden, Leiden, The Netherlands
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Synopsis

We discuss the nonlinear eigenvalue problem

with r(–×) = –r(×) and r'≧0.

For ε = h =0, the solution to Problem P is wellknown, and every solution, except u = 0 and u =1, is unstable with respect to the corresponding parabolic problem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 100 , Issue 1-2 , 1985 , pp. 85 - 101
Copyright
Copyright © Royal Society of Edinburgh 1985

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