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$L^1$ criteria for stability of periodic solutions of a newtonian equation

Published online by Cambridge University Press:  22 February 2006

JINZHI LEI  and
PEDRO J. TORRES
JINZHI LEI
Affiliation:
Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China. e-mail: [email protected]
PEDRO J. TORRES
Affiliation:
Universidad de Granada, Departamento de Matemática Aplicada, 18071 Granada, Spain. e-mail: [email protected]
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Abstract

We develop new criteria for the stability of a periodic solution of a given newtonian equation based on the $L^1$-norm of the coefficients of the third order approximation, by proving that the twist coefficient is different form zero.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 140 , Issue 2 , March 2006 , pp. 359 - 368
Copyright
2006 Cambridge Philosophical Society

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