Interfering Solutions of a Nonhomogeneous Hamiltonian System
dc.contributor.author | Spradlin, Gregory S. | |
dc.date.accessioned | 2020-06-10T21:44:15Z | |
dc.date.available | 2020-06-10T21:44:15Z | |
dc.date.issued | 2001-06-21 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 10 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Spradlin, G. S. (2001). Interfering solutions of a nonhomogeneous Hamiltonian system. Electronic Journal of Differential Equations, 2001(47), pp. 1-10. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/11604 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Variational methods | |
dc.subject | Minimax argument | |
dc.subject | Nonhomogeneous linearity | |
dc.subject | Hamiltonian system | |
dc.subject | Nehari manifold | |
dc.title | Interfering Solutions of a Nonhomogeneous Hamiltonian System | |
dc.type | Article |