Differential and Integral Equations

Unbounded solutions of forced isochronous oscillators at resonance

Abstract

We study the behavior of large amplitude solutions for forced nonlinear oscillators at resonance, the nonlinearity being a bounded perturbation of a function deriving from an isochronous potential, i.e., a potential leading to free oscillations that all have the same period.

Article information

Source
Differential Integral Equations, Volume 15, Number 9 (2002), 1139-1152.

Dates
First available in Project Euclid: 21 December 2012

https://projecteuclid.org/euclid.die/1356060767

Mathematical Reviews number (MathSciNet)
MR1919766

Zentralblatt MATH identifier
1030.70011

Subjects
Primary: 34C11: Growth, boundedness
Secondary: 34B15: Nonlinear boundary value problems 70K30: Nonlinear resonances

Citation

Bonheure, D.; Fabry, C. Unbounded solutions of forced isochronous oscillators at resonance. Differential Integral Equations 15 (2002), no. 9, 1139--1152. https://projecteuclid.org/euclid.die/1356060767