Geodesic
Specific Features of the Study of Nonautonomous Differential Equations with Exponential-Type Matrices
Matematičeskie zametki, Tome 101 (2017) no. 2, pp. 226-231

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An algorithm for the spectral analysis of nonautonomous systems of differential equations on the semiaxis whose matrix can be presented as the sum of exponential-type matrices is developed. This method, which is based on a version of the splitting method, allows us to prove a theorem stating that the initial system is almost reducible to a simpler equivalent system and to formulate a sufficient condition for the asymptotic stability and the stability of its trivial solution.
Keywords: nonautonomous system of ordinary differential equations, splitting method, asymptotic reducibility, stability. 
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     author = {Yu. A. Konyaev and D. A. Maslov},
     title = {Specific {Features} of the {Study} of {Nonautonomous} {Differential} {Equations} with {Exponential-Type} {Matrices}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_2_a7/}
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Yu. A. Konyaev; D. A. Maslov. Specific Features of the Study of Nonautonomous Differential Equations with Exponential-Type Matrices. Matematičeskie zametki, Tome 101 (2017) no. 2, pp. 226-231. http://geodesic.mathdoc.fr/item/MZM_2017_101_2_a7/