EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR DOUBLE PHASE PROBLEM WITH INDEFINITE SINGULAR TERMS

Yu Cheng; Baoyuan Shan; Zhanbing Bai

doi:10.11948/20230070

2023 Volume 13 Issue 6

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Yu Cheng, Baoyuan Shan, Zhanbing Bai. EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR DOUBLE PHASE PROBLEM WITH INDEFINITE SINGULAR TERMS[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3403-3421. doi: 10.11948/20230070

Citation:

Yu Cheng, Baoyuan Shan, Zhanbing Bai. EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR DOUBLE PHASE PROBLEM WITH INDEFINITE SINGULAR TERMS[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3403-3421. doi: 10.11948/20230070

EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR DOUBLE PHASE PROBLEM WITH INDEFINITE SINGULAR TERMS

1.
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

Author Bio: Email: chengyu9660@163.com(Y. Cheng); Email: xiaoxvyuan@outlook.com(B. Shan)
Corresponding author: Email: zhanbingbai@163.com(Z. Bai)
Fund Project: The authors were supported by Natural Science Foundation of China (No. 12371173), Natural Science Foundation of Shandong Province (No. ZR2021MA064), and the Taishan Scholar Project

Abstract

Abstract

In this article, the solvability of a class of periodic boundary value problems with double phase operators and mixed singular terms is considered. By applying the continuation theorem of Manásevich-Mawhin and techniques of a prior estimates, some existence results of positive solutions are obtained. Several numerical examples are given to illustrate the main results.
- Double phase operator /
- continuation theorem /
- periodic solution /
- singular term
MSC: 34B16, 34C25

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References

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