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2008 Bifurcation for Second-Order Hamiltonian Systems with Periodic Boundary Conditions
Francesca Faraci, Antonio Iannizzotto
Abstr. Appl. Anal. 2008: 1-13 (2008). DOI: 10.1155/2008/756934

Abstract

Through variational methods, we study nonautonomous systems of second-order ordinary differential equations with periodic boundary conditions. First, we deal with a nonlinear system, depending on a function u , and prove that the set of bifurcation points for the solutions of the system is not σ -compact. Then, we deal with a linear system depending on a real parameter λ > 0 and on a function u , and prove that there exists λ such that the set of the functions u , such that the system admits nontrivial solutions, contains an accumulation point.

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Francesca Faraci. Antonio Iannizzotto. "Bifurcation for Second-Order Hamiltonian Systems with Periodic Boundary Conditions." Abstr. Appl. Anal. 2008 1 - 13, 2008. https://doi.org/10.1155/2008/756934

Information

Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1144.37025
MathSciNet: MR2393112
Digital Object Identifier: 10.1155/2008/756934

Rights: Copyright © 2008 Hindawi

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