Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Stability of the Periodic Solutions of the Second-Order Delay Differential Equation

Author(s):

A. V. ZAKHAROV

Ural State University,
Department of Mathematics and Mechanics,
56 Lenin av., 620085 Ekaterinburg, RUSSIA,

hazarov@etel.ru

Abstract:

In this paper the influence of delay on the periodic oscillations in conservative system is investigated. It is shown that delay presence may cause an appearance of the isolated periodic solutions. The sufficient conditions of stability of such solutions are found.

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