Bifurcation for Second-Order Hamiltonian Systems with Periodic Boundary Conditions

Faraci, Francesca; Iannizzotto, Antonio
January 2008
Abstract & Applied Analysis;2008, p1
Academic Journal
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 ℷ > 0 and on a function u, and prove that there exists ?* such that the set of the functions u, such that the system admits nontrivial solutions, contains an accumulation point.


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