This article is cited in 4 papers

A theorem concerning the existence of periodic solutions of systems of differential equations with delayed arguments

V. V. Strygin

Voronezh State University

Abstract: A result is proved concerning the existence of periodic solutions of a system with delay; this theorem is new for ordinary differential equations. An integral operator is constructed, acting in the space of continuous functions, whose fixed points are periodic solutions of the system under consideration.

UDC: 517.9

Received: 04.04.1969

 English version: Mathematical Notes, 1970, 8:2, 600–602

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