Stability and exact periodic solutions of indefinite equations arising from the Kepler problem on the sphere

Xiaomeng Bo, Qihuai Liu () and Wenye Liu
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Xiaomeng Bo: Guilin University of Electronic Technology
Qihuai Liu: Guilin University of Electronic Technology
Wenye Liu: Shanghai Normal University

Partial Differential Equations and Applications, 2021, vol. 2, issue 4, 1-14

Abstract: Abstract In this paper, we established a new method to search for the exact periodic solutions and analyze their stability for an indefinite singular equation with two singularities and a piecewise weight function, which arises from the Kepler problem on the sphere. The concrete numerical example shows the effectiveness of our method.

Keywords: Periodic solution; Stability; Indefinite equation; Singularity; Primary 34C15; 34D15; Secondary 34D20 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00099-3

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