Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 47, pp. 1-10.

Title: Interfering solutions of a nonhomogeneous Hamiltonian system
        
Author: Gregory S. Spradlin (Embry-Riddle Aeronautical Univ. Daytona Beach, FL, USA)

Abstract:  
 A Hamiltonian system is studied which has a term approaching a constant at an
 exponential rate at infinity .  A minimax argument is used to show that the
 equation has a positive homoclinic solution.  The proof employs the interaction
 between translated solutions of the corresponding homogeneous equation. 
 What distinguishes this result from its few predecessors is that the equation 
 has a nonhomogeneous nonlinearity.
  
Submitted April 30, 2001. Published June 21, 2001.
Math Subject Classifications: 35A15.
Key Words: Variational methods; minimax argument; 
    nonhomogeneous linearity; Hamiltonian system; Nehari manifold.