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Bifurcation for Second-Order Hamiltonian Systems with Periodic Boundary Conditions

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  • Francesca Faraci
  • Antonio Iannizzotto

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.

Suggested Citation

  • Francesca Faraci & Antonio Iannizzotto, 2008. "Bifurcation for Second-Order Hamiltonian Systems with Periodic Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-13, February.
    • Handle: RePEc:hin:jnlaaa:756934
    DOI: 10.1155/2008/756934
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