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.
Electronic Journal of Differential Equations
Southwest Texas State University
Scholarly Commons Citation
Spradlin, G. S. (2001). Interfering Solutions of a Nonhomogeneous Hamiltonian System. Electronic Journal of Differential Equations, 2001(47). Retrieved from https://commons.erau.edu/publication/283