Gregory S. Spradlin
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.
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| Gregory S. Spradlin |
Department of Computing and Mathematics
Embry-Riddle Aeronautical University
Daytona Beach, Florida 32114-3900 USA
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