Geodesic
Spectral Test for Exponential Stability
Matematičeskie zametki, Tome 113 (2023) no. 4, pp. 489-498

Voir la notice de l'article provenant de la source Math-Net.Ru

Using the theory of commutative Banach algebras, we find an estimate of the solution of a higher-order linear differential equation; from this estimate, we derive a Lyapunov asymptotic stability test for this equation. Here the results by Faedo and Kharitonov on the Hurwitz conditions for families of polynomials find a natural application. Similar statements are obtained for a system of linear differential equations.
Keywords: commutative Banach algebras, differential equations in Banach algebras, Lyapunov stability. 
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     author = {I. D. Kostrub and A. I. Perov},
     title = {Spectral {Test} for {Exponential} {Stability}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2023_113_4_a1/}
}
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I. D. Kostrub; A. I. Perov. Spectral Test for Exponential Stability. Matematičeskie zametki, Tome 113 (2023) no. 4, pp. 489-498. http://geodesic.mathdoc.fr/item/MZM_2023_113_4_a1/