Non-collision periodic solutions for singular Hamiltonian systems
The author proves the existence of a periodic solution to a singular Hamiltonian system with a singularity which can be either of noncollision type or can collide at most once in a period. Thus, he generalizes previous results known for second order differential systems. The proof is based on variational methods, and a careful estimate of the Morse index.
scientific article; zbMATH DE number 2123249
scientific article