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On the reducibility of a class of linear differential equations with quasiperiodic coefficients

Part of: General theory in ordinary differential equations

Published online by Cambridge University Press:  26 February 2010

Xu Junxiang
Xu Junxiang
Affiliation:
Department of Applied Mathematics, Southeast University. Nanjing 210018, P.R. China.
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Abstract

This paper treats the reducibility of the quasiperiodic linear differential equations

where A is a constant matrix with multiple eigenvalues, Q(t) is a quasiperiodic matrix with respect to time t, and ε is a small perturbation parameter. Under some non-resonant conditions, rapidly convergent methods prove that, for most sufficiently small ε, the differential equations are reducible to a constant coefficient differential equation by means of a quasiperiodic change of variables with the same frequencies as Q(t).

MSC classification

Secondary: 34A30: Linear equations and systems, general
Type
Research Article
Information
Mathematika , Volume 46 , Issue 2 , December 1999 , pp. 443 - 451
Copyright
Copyright © University College London 1999

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