Bifurcation for Second‐Order Hamiltonian Systems with Periodic Boundary Conditions

Francesca Faraci and Antonio Iannizzotto

Abstract and Applied Analysis, 2008, vol. 2008, issue 1

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.

Date: 2008
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https://doi.org/10.1155/2008/756934

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:756934

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