Dancer  found a necessary and sufficient condition for the existence of periodic solutions to the equation
His condition is based on a functional that depends on the solution to the above equation with . However, that solution is not always explicitly known which makes the condition unverifiable in practical situations. As an alternative, we find computable bounds for the functional that provide a sufficient condition and a necessary condition for the existence of solutions.
Submitted August 20, 1998. Published November 20, 1998.
Math Subject Classification: 34B15, 34C15, 34C25, 34C99.
Key Words: Ordinary differential equation, periodic solutions.
Show me the PDF file (138K), TEX file, and other files for this article.
| Petr Girg |
Centre of Applied Mathematics,
University of West Bohemia, P.O. Box 314
306 14, Plzen, Czech Republic
Web page http://www-cam.zcu.cz/Girg
Return to the EJDE web page