Geodesic
An Asymptotic Method for Reducing Systems of Differential Equations with Almost-Periodic Matrices
Matematičeskie zametki, Tome 105 (2019) no. 1, pp. 9-17

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An asymptotic method for reducing nonautonomous systems of differential equations with matrices represented as sums of matrix functions of different periods to systems with almost-constant matrices is proposed. On the basis of the proposed method, sufficient conditions for the asymptotic stability of solutions of systems of differential equations of this type are derived.
Keywords: nonautonomous system of differential equations, splitting method, asymptotic reducibility method, stability. 
@article{MZM_2019_105_1_a1,
     author = {Yu. A. Konyaev and D. A. Maslov},
     title = {An {Asymptotic} {Method} for {Reducing} {Systems} of {Differential} {Equations} with {Almost-Periodic} {Matrices}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {9--17},
     publisher = {mathdoc},
     volume = {105},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_1_a1/}
}
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Yu. A. Konyaev; D. A. Maslov. An Asymptotic Method for Reducing Systems of Differential Equations with Almost-Periodic Matrices. Matematičeskie zametki, Tome 105 (2019) no. 1, pp. 9-17. http://geodesic.mathdoc.fr/item/MZM_2019_105_1_a1/