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Selected Works of Gregory S. Spradlin
Article
Interfering Solutions of a Nonhomogeneous Hamiltonian System
Electronic Journal of Differential Equations, (2001)
  • Gregory S. Spradlin
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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.
Keywords
  • Variational methods,
  • minimax argument,
  • nonhomogeneous linearity,
  • Hamiltonian system,
  • Nehari manifold
Disciplines
Publication Date
2001
Citation Information
Gregory S. Spradlin. "Interfering Solutions of a Nonhomogeneous Hamiltonian System" Electronic Journal of Differential Equations, Vol. 2001 Iss. 47 (2001) p. 1 - 10 ISSN: 1072-6691
Available at: http://works.bepress.com/greg_spradlin/10/