Spradlin, Gregory S.2020-06-102020-06-102001-06-21Spradlin, G. S. (2001). Interfering solutions of a nonhomogeneous Hamiltonian system. <i>Electronic Journal of Differential Equations, 2001</i>(47), pp. 1-10.1072-6691https://hdl.handle.net/10877/11604A 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalVariational methodsMinimax argumentNonhomogeneous linearityHamiltonian systemNehari manifoldArticle