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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1984 Volume 125(167), Number 4(12), Pages 435–457 (Mi sm2094)

This article is cited in 3 papers

On typical behavior of conditional exponential stability under perturbations

V. M. Millionshchikov


Abstract: The author proves that it is typical for the exponentially separated subspace of slow solutions of a system of equations in variations to depend continuously on the system being linearized and on the initial value of the solution along which the system in variations is taken.
Bibliography: 5 titles.

UDC: 517.938

MSC: 34C35, 34D20

Received: 17.01.1984


 English version:
Mathematics of the USSR-Sbornik, 1986, 53:2, 433–455

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