Abstract
We suggest a sufficient test for the asymptotic stability of a third-order linear equation, in which one should check the existence of a function with certain special properties.
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References
Lyusternik, L.A. and Sobolev, V.I., Elementy funktsional’nogo analiza (Elements of Functional Analysis), Moscow: Nauka, 1965.
Iskandarov, S., On a Nonstandard Method for Studying the Asymptotic Stability of Solutions of a Linear Volterra Integro-Differential Equation of the Fourth Order, Issled. Integ.-Differ. Uravn., Bishkek, 2012, no. 44, pp. 44–51.
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Original Russian Text © S. Iskandarov, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 11, p. 1557.
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Iskandarov, S. Lyusternik-Sobolev lemma and the asymptotic stability of a third-order linear equation. Diff Equat 50, 1559 (2014). https://doi.org/10.1134/S0012266114110172
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DOI: https://doi.org/10.1134/S0012266114110172