Twist Solutions of a Hill's Equation with Singular Term

Abstract: The paper deals with the existence of twist solutions of a Hill's equation with singular term (often called Brillouin equation in the related literature) for a given region of parameters involved on the equation. Solutions of twist type are in particular Lyapunov stable and present interesting dynamical features around them. The techniques of proof include upper and lower solutions, topological degree and classical tools on normal forms of area preserving maps.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Twist Solutions of a Hill's Equation with Singular Term ; volume:2 ; number:3 ; year:2002 ; pages:279-287 ; extent:9
Advanced nonlinear studies ; 2, Heft 3 (2002), 279-287 (gesamt 9)

Creator
Torres, Pedro J.

DOI
10.1515/ans-2002-0305
URN
urn:nbn:de:101:1-2405021618336.574861998131
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 11:01 AM CEST

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Associated

  • Torres, Pedro J.

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