Fifth Mississippi State Conference on Differential Equations and Computational Simulations,
Electron. J. Diff. Eqns., Conf. 10, 2003, pp. 187-191.

Similarity of solution branches for two-point semilinear problems

Philip Korman

For semilinear autonomous two-point problems, we show that all Neumann branches and all Dirichlet branches with odd number of interior roots have the same shape. On the other hand, Dirichlet branches with even number of roots may look differently. While this result has been proved previously by Schaaf [2], our approach appears to be simpler.

Published February 28, 2003.
Subject classifications: 34B15.
Key words: Similarity of solution curves.

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Philip Korman
Department of Mathematical Sciences
University of Cincinnati
Cincinnati Ohio 45221-0025

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