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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1984 Volume 124(166), Number 4(8), Pages 451–485 (Mi sm2061)

This article is cited in 6 papers

On indices of exponential separation

V. M. Millionshchikov


Abstract: The property of exponential separation of solutions of systems of variational equations, introduced by Perron, is considered.
The author shows that it is typical for this property to be preserved under small perturbations both of the linearized system and of the initial value of the solution along which the system is linearized.
Bibliography: 8 titles.

UDC: 517.938

MSC: Primary 34C11; Secondary 58F15

Received: 19.09.1983


 English version:
Mathematics of the USSR-Sbornik, 1985, 52:2, 439–470

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