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Optimal bounds for bifurcation values of a superlinear periodic problem

Author: Ortega Rafael   Zhang Meirong  

Publisher: Royal Society of Edinburgh

ISSN: 1473-7124

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Vol.135, Iss.1, 2005-02, pp. : 119-132

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Abstract

In this paper we will show that the optimal bounds for certain static and dynamic bifurcation values of periodic solutions of some superlinear differential equations can be expressed explicitly using Sobolev constants.