Electron. J. Diff. Eqns., Vol. 2001(2001), No. 47, pp. 110.
Interfering solutions of a nonhomogeneous Hamiltonian system
Gregory S. Spradlin
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.
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Gregory S. Spradlin
Department of Computing and Mathematics
EmbryRiddle Aeronautical University
Daytona Beach, Florida 321143900 USA
email: spradlig@erau.edu 
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