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

HANG Wei-tao, WANG Chao, LI Qi, YANG Xiao

doi:10.13371/j.cnki.chin.q.j.m.2018.02.001

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 2: 111 - 121

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.02.001

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

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School of Mathematics and Statistics, Yangcheng Teacher’s University

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.

Accepted date: 2016-04-14

Online published: 2020-10-08

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)；

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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

Cite this article

HANG Wei-tao, WANG Chao, LI Qi, YANG Xiao . Admissible Periodic Bouncing Solutions for A Class of Semi-linear and Non-conservative Impact Oscillators[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(2) : 111 -121 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.02.001

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