Scattered homoclinics to a class of time-recurrent Hamiltonian systems
Department of Mathematics,
Daytona Beach, Florida 32114-3900, USA; email@example.com
Revised: 25 May 2006
A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line.
Mathematics Subject Classification: 34C37 / 47J30
Key words: Mountain pass theorem / Palais-Smale sequences / almost periodic / Hamiltonian system
© EDP Sciences, SMAI, 2007