Bifurcation for Second-Order Hamiltonian Systems with Periodic Boundary Conditions

Francesca Faraci and Antonio Iannizzotto

Abstract and Applied Analysis, 2008, vol. 2008, 1-13

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 , and prove that the set of bifurcation points for the solutions of the system is not -compact. Then, we deal with a linear system depending on a real parameter and on a function , and prove that there exists such that the set of the functions , such that the system admits nontrivial solutions, contains an accumulation point.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:756934

DOI: 10.1155/2008/756934

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