A Note on the Reducibility of Linear Differential Equations with Quasiperiodic Coefficients
نویسندگان
چکیده
with x an n-dimensional vector, A a constant square matrix of order n, and Q a square matrix of order n, quasiperiodic in time t. We say that a change of variables x = P(t)y is a Lyapunov-Perron (LP) transformation if P(t) is nonsingular and P(t), P−1(t), and Ṗ (t) are bounded for all t ∈R. Moreover, if P , P−1, and Ṗ are quasiperiodic in time t, we refer to x = P(t)y as a quasiperiodic LP transformation. If there is a quasiperiodic LP transformation x = P(t)y such that y satisfies the equation
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