Differential and Integral Equations

Some remarks about periodic solutions to the forced pendulum equation

Flavio Donati

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Abstract

We give a new (and unified) proof of a local result of existence and multiplicity for periodic solutions of the pendulum equation. We also show that, under a suitable assumption, there can be generically a finite number of geometrically distinct solutions.

Article information

Source
Differential Integral Equations, Volume 8, Number 1 (1995), 141-149.

Dates
First available in Project Euclid: 21 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1369143788

Mathematical Reviews number (MathSciNet)
MR1296114

Zentralblatt MATH identifier
0817.34024

Subjects
Primary: 34C25: Periodic solutions
Secondary: 34B15: Nonlinear boundary value problems

Citation

Donati, Flavio. Some remarks about periodic solutions to the forced pendulum equation. Differential Integral Equations 8 (1995), no. 1, 141--149. https://projecteuclid.org/euclid.die/1369143788


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