# American Institute of Mathematical Sciences

May  2015, 35(5): 1921-1932. doi: 10.3934/dcds.2015.35.1921

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

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

Received  January 2014 Revised  October 2014 Published  December 2014

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.
Citation: Jifeng Chu, Pedro J. Torres, Feng Wang. Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem. Discrete & Continuous Dynamical Systems, 2015, 35 (5) : 1921-1932. doi: 10.3934/dcds.2015.35.1921
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