EXISTENCE OF PERIODIC SOLUTIONS FOR TWO CLASSES OF SECOND ORDER $ P $-LAPLACIAN DIFFERENTIAL EQUATIONS

Xiaoling Han; Hujun Yang

doi:10.11948/20210310

2023 Volume 13 Issue 1

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Xiaoling Han, Hujun Yang. EXISTENCE OF PERIODIC SOLUTIONS FOR TWO CLASSES OF SECOND ORDER $ P $-LAPLACIAN DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 81-94. doi: 10.11948/20210310

Citation:

Xiaoling Han, Hujun Yang. EXISTENCE OF PERIODIC SOLUTIONS FOR TWO CLASSES OF SECOND ORDER $ P $-LAPLACIAN DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 81-94. doi: 10.11948/20210310

EXISTENCE OF PERIODIC SOLUTIONS FOR TWO CLASSES OF SECOND ORDER $ P $-LAPLACIAN DIFFERENTIAL EQUATIONS

Xiaoling Han¹,
Hujun Yang^1, ,

1.
School of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, China

Corresponding author: Email: yanghujun666@163.com(H. Yang)
Fund Project: The authors were supported by National Natural Sciences Foundation of China(No. 12161079), Natural Sciences Foundation of Gansu Province(No. 20JR10RA086)

Abstract

Abstract

In this paper, by using the Man$ \acute{a} $sevich-Mawhin theorem on continuity of the topological degree, we prove the existence of periodic solutions for two classes of second order $ p $-Laplacian polynomial differential equations. Finally, some examples are given to show applications of the conclusions.
- Periodic solution /
- p-Laplacian /
- Man$ \acute{a} $sevich-Mawhin theorem
MSC: 34B16, 34C25

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References

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