Abstract
This paper studies the effective reducibility of the linear almost periodic equation
where \(Q(t)\) is analytic and almost periodic on \(D_\rho\) and \(A\) is a constant matrix. By an almost periodic transformation, without any nondegeneracy condition, under nonresonance conditions, the system is reduced to an almost periodic system
where \(R^*\) is small with respect to \(\varepsilon\) (i.e., \(\lim\limits_{\varepsilon\rightarrow 0} R^*(t,\varepsilon)=0\)).
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Li, J. Effective Reducibility for a Class of Linear Almost Periodic Systems. Math Notes 114, 1314–1321 (2023). https://doi.org/10.1134/S0001434623110639
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DOI: https://doi.org/10.1134/S0001434623110639