Differential and Integral Equations

On the count and the classification of periodic solutions to forced pendulum-type equations

Marta Calanchi and Massimo Tarallo

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Abstract

We provide a method for the count and the variational characterization of periodic solutions to forced pendulum-type equation. This is achieved by reducing the problem to the study of a real function of one variable. This paper generalizes some results obtained by G. Tarantello.

Article information

Source
Differential Integral Equations, Volume 11, Number 3 (1998), 503-520.

Dates
First available in Project Euclid: 30 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367341065

Mathematical Reviews number (MathSciNet)
MR1745552

Zentralblatt MATH identifier
1023.34037

Subjects
Primary: 34C25: Periodic solutions 58E30: Variational principles

Citation

Calanchi, Marta; Tarallo, Massimo. On the count and the classification of periodic solutions to forced pendulum-type equations. Differential Integral Equations 11 (1998), no. 3, 503--520. https://projecteuclid.org/euclid.die/1367341065


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