Title: Homoclinic Orbits For First Order Hamiltonian Systems With Convex Potentials
Abstract: Abstract In this paper new estimates on the C 0 -norm of homoclinic orbit are shown for first order convex Hamiltonian systems possessing super-quadratic potentials. Applying these estimates, some new results on the existence of infinitely many geometrically distinct homoclinic orbits are proved, which generalize the main results in [2] and [10].