Absolute stability of the solutions of linear differential equations with time lags in Banach space

V. E. Slyusarchuk

Novopolots Polytechnic Institute

Abstract: The connection between the exponential stability of the solutions of linear differential equations in space of multidimensional bounded vector sequences and the absolute asymptotic stability of the solutions of differential equations with several time lags is investigated.

UDC: 517.949.2

Received: 16.12.1974

 English version: Mathematical Notes, 1975, 18:2, 743–745

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