This paper deals via variational methods with the existence of infinitely many homoclinic orbits for a class of the first-order time-dependent Hamiltonian systems
without any periodicity assumption on , providing that is G-symmetric with respect to , is superquadratic as , and satisfies some additional assumptions.
Submitted March 19, 1999. Published October 12, 1999.
Math Subject Classifications: 34B30, 34C37.
Key Words: Hamiltonian system, homoclinic orbits.
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