Article citationsMore>>

Mawhin, J. and Villari, G. (2017) Periodic Solutions of Some Autonomous Liénard Equations with Relativistic Acceleration. Nonlinear Analysis, 160, 16-24.
https://doi.org/10.1016/j.na.2017.05.001

has been cited by the following article:

• TITLE: Infinite Subharmonic Solutions of the Forced Relativistic Oscillators

  AUTHORS: Zaihong Wang, Tiantian Ma

  KEYWORDS: Relativistic Oscillator, Subharmonic Solution, Poincaré-Birkhoff Fixed Point Theorem

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.7, July 19, 2019

  ABSTRACT: In this paper, we study the multiplicity of subharmonic solutions of the nonlinear differential equation of the forced relativistic oscillators. By using the generalized Poincaré-Birkhoff fixed point theorem, we prove that the equation has infinite subharmonic solutions provided that g satisfies at most linear growth condition.