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.
| Original language | American English |
|---|---|
| Journal | Electronic Journal of Differential Equations, |
| Volume | 2001 |
| State | Published - 2001 |
Keywords
- Variational methods
- minimax argument
- nonhomogeneous linearity
- Hamiltonian system
- Nehari manifold
Disciplines
- Ordinary Differential Equations and Applied Dynamics