Interfering Solutions of a Nonhomogeneous Hamiltonian System

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dc.contributor.authorSpradlin, Gregory S.
dc.date.accessioned2020-06-10T21:44:15Z
dc.date.available2020-06-10T21:44:15Z
dc.date.issued2001-06-21
dc.description.abstractA 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.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSpradlin, G. S. (2001). Interfering solutions of a nonhomogeneous Hamiltonian system. <i>Electronic Journal of Differential Equations, 2001</i>(47), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/11604
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectVariational methods
dc.subjectMinimax argument
dc.subjectNonhomogeneous linearity
dc.subjectHamiltonian system
dc.subjectNehari manifold
dc.titleInterfering Solutions of a Nonhomogeneous Hamiltonian System
dc.typeArticle

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