Electronic Journal of Differential Equations,
Vol. 1994(1994), No. 01, pp. 1-10.

Title: Homoclinic orbits for a class of symmetric Hamiltonian systems
       
Authors: Philip Korman (Univ. of Cincinnati, Oh, USA)
        Alan C. Lazer (Univ. of Miami, Fl, USA)

Abstract: We study existence of homoclinic orbits for a class 
of Hamiltonian systems that are symmetric with respect to 
independent variable (time). For the scalar case we prove 
existence and uniqueness of a positive homoclinic solution.  
For the system case  we prove existence of symmetric homoclinic
orbits. We use variational approach.

Submitted October 22, 1993. Published February 15, 1994.
Math Subject Classification: 34B15, 34A34.
Key Words: Homoclinic orbits; mountain-pass lemma.