THE EXISTENCE OF PERIODIC SOLUTIONS FOR THREE-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

Manna Huang; Chengjun Guo; Junming Liu

doi:10.11948/20180139

2020 Volume 10 Issue 2

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Manna Huang, Chengjun Guo, Junming Liu. THE EXISTENCE OF PERIODIC SOLUTIONS FOR THREE-ORDER NEUTRAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(2): 457-473. doi: 10.11948/20180139

Citation:

Manna Huang, Chengjun Guo, Junming Liu. THE EXISTENCE OF PERIODIC SOLUTIONS FOR THREE-ORDER NEUTRAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(2): 457-473. doi: 10.11948/20180139

THE EXISTENCE OF PERIODIC SOLUTIONS FOR THREE-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

1.
School of Applied Mathematics, Guangdong University of Technology, Guangzhou, Guangdong, 510520, China

Corresponding author: Email address:jmliu@gdut.edu.cn(J. Liu)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 11801094)

Abstract

Abstract

In this paper, by using Kranoselskii fixed point point theorem and Mawhin's continuation theorem, we establish two existence theorem on the periodic solutions for a class of three-order neutral differential equations.
- Periodic solutions /
- multiple deviating arguments /
- neutral differential equation
MSC: 39A23

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References

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