Stable odd solutions of some periodic equations modeling satellite motion

Daniel Nuñez, Pedro J. Torres

Producción: Contribución a una revistaArtículorevisión exhaustiva

17 Citas (Scopus)

Resumen

A new stability criterion is proved for second-order differential equations with symmetries in terms of the coefficients of the expansion of the nonlinearity up to the third order. Such a criterion provides solutions of twist type, which are Lyapunov-stable solutions with interesting dynamical properties. This result is connected with the existence of upper and lower solutions of a Dirichlet problem and applied to a known equation which model the planar oscillations of a satellite in an elliptic orbit, giving an explicit region of parameters for which there exists a Lyapunov-stable solution.

Idioma originalInglés
Páginas (desde-hasta)700-709
Número de páginas10
PublicaciónJournal of Mathematical Analysis and Applications
Volumen279
N.º2
DOI
EstadoPublicada - 15 mar. 2003
Publicado de forma externa

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