Erratum to: Floquet’s Theorem and Stability of Periodic Solitary Waves

Author： Neves Aloisio  

Publisher： Springer Publishing Company

ISSN： 1040-7294

Source： Journal of Dynamics and Differential Equations, Vol.22, Iss.3, 2010-09, pp. : 617-627

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Abstract

This paper is concerned with the spectrum the Hill operator L(y) = −y′′ + Q(x) y in $${L^2_{{\rm per}}[0, \pi]}$$ . We show that the eigenvalues of L can be characterized by knowing one of its eigenfunctions. Applications are given to nonlinear stability of a class of periodic problems.

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