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.