Electronic Journal of Differential Equations,
Conf. 10 (2002), pp. 187-191.

Title: Similarity of solution branches for two-point semilinear problems

Author: Philip Korman (Univ. of Cincinnati, Ohio, USA) 
 
Abstract: 
 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 \cite{S},
 our approach appears to be simpler.


Published February 28, 2003.
Math Subject Classifications: 34B15
Key Words: Similarity of solution curves.