Monotonicity of the period of a non linear oscillator

2015/12/28 by Rafael D. Benguria, Benguria, R. D., M. C. Depassier +3
Computer Science · Mathematics · #34B15 #34C23 #34C25 #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Classical Physics (physics.class-ph) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Differential Equations Analysis #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1512.08487

openalex publication_date 2015/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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