Chinese Quarterly Journal of Mathematics ›› 2018, Vol. 33 ›› Issue (2): 111-121.doi: 10.13371/j.cnki.chin.q.j.m.2018.02.001

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Admissible Periodic Bouncing Solutions for A Class of Semi-linear and Non-conservative Impact Oscillators

  

  1. School of Mathematics and Statistics, Yangcheng Teacher’s University
  • Accepted:2016-04-14 Online:2018-06-30 Published:2020-10-08
  • About author:WANG Chao(corresponding author)(1974-), male, Yancheng, Jiangsu, an associate professor of Yancheng Teachers University, Ph.D., engages in ordinary di®erential equations and dynamic systems.
  • Supported by:
    Supported by the NNSF of China(11571249); NSF of JiangSu Province(BK20171275); Supported by the grant of Innovative Training Program of College Students in Jiangsu province(201410324001Z);

Abstract: In this paper, by using the topological degree method and some limiting arguments, the existence of admissible periodic bouncing solutions for a class of non-conservative semi-linear impact equations is proved. 

Key words: Impact oscillators, Semi-linear, Periodic admissible bouncing solutions, Topological degree

CLC Number: