Monotonicity of the period of a non linear oscillator

/ Authors

/ Abstract

We revisit the problem of monotonicity of the period function for the differential equation $u"-u+u^p=0$ and give a simple proof of recent results of Miyamoto and Yagasaki.

Journal: arXiv: Classical Analysis and ODEs

DOI: 10.1016/J.NA.2016.03.004

Monotonicity of the period of a non linear oscillator

/ Authors

R. Benguria, M. C. Depassier, M. Loss

/ Abstract

We revisit the problem of monotonicity of the period function for the differential equation $u"-u+u^p=0$ and give a simple proof of recent results of Miyamoto and Yagasaki.

Journal: arXiv: Classical Analysis and ODEs

DOI: 10.1016/J.NA.2016.03.004