Positive periodic solutions of a singular Minkowski-curvature equation

In this paper, we study the existence of positive periodic solutions of a singular Minkowski-curvature equation. The proof is based on the Mawhin’s continuation theorem. Moreover, an example and the corresponding numerical simulations are given to illustrate our theoretical analysis. Some results in the literature are generalized and improved.

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Publication Details

Journal
Advances in Continuous and Discrete Models
Published
2025-11-13
DOI
https://doi.org/10.1186/s13662-025-04027-2
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Positive periodic solutions of a singular Minkowski-curvature equation

Zaitao Liang, Shengjun Li
Advances in Continuous and Discrete Models
Nonlinear Differential Equations Analysis
article

Positive periodic solutions of a singular Minkowski-curvature equation

Zaitao Liang, Shengjun Li
article en

Abstract

In this paper, we study the existence of positive periodic solutions of a singular Minkowski-curvature equation. The proof is based on the Mawhin’s continuation theorem. Moreover, an example and the corresponding numerical simulations are given to illustrate our theoretical analysis. Some results in the literature are generalized and improved.

Advances in Continuous and Discrete ModelsVol. 2025(1)
Anhui University of Science and Technology (CN), Hainan University (CN)
National Natural Science Foundation of China, Natural Science Foundation of Anhui Province
Openalex Percentile: Top 53%
Nonlinear Differential Equations Analysis
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