Interfering Solutions of a Nonhomogeneous Hamiltonian System

نویسنده

  • Gregory S. Spradlin
چکیده

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.

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تاریخ انتشار 2017