作者:RenZiYANG; JunXiangXU线性微分方程有效还原性准周期性时滞方程
摘要:In this paper we consider the effective reducibility of the following linear differentialequation: x = (A + ∈Q(t,∈))x, |∈| ≤ ∈0, where A is a constant matrix, Q(t,e) is quasiperiodic in t, and e 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 y = (A^*(∈) + R^*(t, ∈))y, |∈| ≤ ∈o, where R^* is exponentially small in ∈.
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