Electron. J. Diff. Eqns.,
Vol. 1998(1998), No. 31, pp. 110.
Existence of periodic solutions for a semilinear ordinary differential equation
Petr Girg
Abstract:
Dancer [3] 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.
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Petr Girg
Centre of Applied Mathematics,
University of West Bohemia, P.O. Box 314
306 14, Plzen, Czech Republic
email: pgirg@kma.zcu.cz
Web page http://wwwcam.zcu.cz/Girg

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