Infinite Subharmonic Solutions of the Forced Relativistic Oscillators  

作　　者：Zaihong Wang Tiantian Ma 

机构地区：[1]School of Mathematical Sciences, Capital Normal University, Beijing, China [2]Editorial Department of Journal, Capital Normal University, Beijing, China

出　　处：《Journal of Applied Mathematics and Physics》2019年第7期1498-1512,共15页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：RELATIVISTIC Oscillator SUBHARMONIC Solution Poincaré-Birkhoff Fixed Point Theorem 

分 类 号：O1[理学—数学]