A Non-Autonomous Second Order Boundary Value Problem on the Half-Line

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Abstract

By variational arguments, the existence of a solution to a nonautonomous second-order boundary problem on the half-line is proven. The corresponding autonomous problem has no solution, revealing significant differences between the autonomous and the non-autonomous case.
Original languageAmerican English
JournalNonlinear Differential Equations and Applications
Volume17
DOIs
StatePublished - Oct 2010

Keywords

  • heteroclinic
  • non-autonomous equation
  • bounded solution
  • variational methods

Disciplines

  • Ordinary Differential Equations and Applied Dynamics

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