Effective Reducibility of a Class of Linear Differential Equations with Quasiperiodic Coefficients

Effective Reducibility of a Class of Linear Differential Equations with Quasiperiodic Coefficients

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摘要 In this paper we consider the effective reducibility of the following linear differential equation: , where A is a constant matrix, Q(t,?) is quasiperiodic in t, and ? is a small perturbation parameter. We prove that if the eigenvalues of A and the basic frequencies of Q satisfy some non-resonant conditions, the linear differential equation can be reduced to , where R* is exponentially small in ?. In this paper we consider the effective reducibility of the following linear differential equation: , where A is a constant matrix, Q(t,?) is quasiperiodic in t, and ? is a small perturbation parameter. We prove that if the eigenvalues of A and the basic frequencies of Q satisfy some non-resonant conditions, the linear differential equation can be reduced to , where R* is exponentially small in ?.

作者 RenZiYANG JunXiangXU

机构地区 DepartmentofMathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第3期525-532,共8页 数学学报（英文版）

关键词 Linear differential equations Effective reducibility QUASIPERIODIC Linear differential equations Effective reducibility Quasiperiodic

分类号 O175 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2004年第3期

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Effective Reducibility of a Class of Linear Differential Equations with Quasiperiodic Coefficients

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