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The twist coefficient of periodic solutions of a time-dependent Newton's equation

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Abstract

This paper gives sufficient conditions for the existence of periodic solutions of twist type of a time-dependent differential equation of the second order. The concept of periodic solution of twist type is defined in terms of the corresponding Birkhoff normal form and, in particular, implies that the solution is Lyapunov stable. Some applications to nonlocal problems are given.

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  1. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain

    Rafael Ortega

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  1. Rafael Ortega
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Ortega, R. The twist coefficient of periodic solutions of a time-dependent Newton's equation. J Dyn Diff Equat 4, 651–665 (1992). https://doi.org/10.1007/BF01048263

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