Electron. J. Diff. Eqns., Vol. 2003(2003), No. 88, pp. 1-11.

Harmonic solutions to perturbations of periodic separated variables ODEs on manifolds

Marco Spadini

Abstract:
We study the set of harmonic solutions to perturbed periodic separated variables ordinary differential equations on manifolds. As an application, a multiplicity result is deduced.

Submitted April 17, 2003. Published August 25, 2003.
Math Subject Classifications: 34C25, 34C40.
Key Words: Ordinary differential equations on manifolds, multiplicity of periodic solutions.

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Marco Spadini
Dipartimento di Matematica Applicata
Universita di Firenze
Via S. Marta 3, 50139 Firenze, Italy
e-mail: spadini@dma.unifi.it

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