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Full-Text Articles in Ordinary Differential Equations and Applied Dynamics

A Non-Autonomous Second Order Boundary Value Problem On The Half-Line, Gregory S. Spradlin Oct 2010

A Non-Autonomous Second Order Boundary Value Problem On The Half-Line, Gregory S. Spradlin

Greg S. Spradlin Ph.D.

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.