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Optimal bounds for bifurcation values of a superlinear periodic problem

Published online by Cambridge University Press:  12 July 2007

Rafael Ortega
Affiliation:
Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain ([email protected])
Meirong Zhang
Affiliation:
Department of Mathematical Sciences and Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, People's Republic of China ([email protected])

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.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2005

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