Radial stability of periodic solutions of theGylden-Meshcherskii-type problem

Jifeng Chu; Pedro J. Torres; Feng Wang

doi:10.3934/dcds.2015.35.1921

Article Contents

2015, Volume 35, Issue 5: 1921-1932. Doi: 10.3934/dcds.2015.35.1921

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Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem

1.
Department of Mathematics, College of Science, Hohai University, Nanjing 210098
2.
Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada

Received: January 2014

Revised: October 2014

Published: May 2017

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Abstract

For the Gylden-Meshcherskii-type problem with a periodically cha-nging gravitational parameter, we prove the existence of radially periodic solutions with high angular momentum, which are Lyapunov stable in the radial direction.

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Mathematics Subject Classification: Primary: 34C25; Secondary: 34D20.

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References

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