Article
A Non-Autonomous Second Order Boundary Value Problem on the Half-Line
Nonlinear Differential Equations and Applications
(2010)
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.
Keywords
- heteroclinic,
- non-autonomous equation,
- bounded solution,
- variational methods
Publication Date
October, 2010
DOI
https://doi.org/10.1007/s00030-010-0074-1
Publisher Statement
The final publication is available at <a href="http://link.springer.com/article/10.1007/s00030-010-0074-1">Full-text article<a/>
Citation Information
Gregory S. Spradlin. "A Non-Autonomous Second Order Boundary Value Problem on the Half-Line" Nonlinear Differential Equations and Applications Vol. 17 Iss. 5 (2010) p. 639 - 645 ISSN: 1021-9722 Available at: http://works.bepress.com/greg_spradlin/2/