ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations
and
Control Processes

A Periodical Systems of Differential Equations with Finite-dimentional Operators

Author(s):

V. Tarasyan

Kolmogorova st., 66, Ekaterinburg, 620034, Russia
Urals state university of railway transport

VTarasyan@tm.usart.ru

Abstract:

We considered a special new class of linear periodic differential equations with after-effect systems. It is generated by finite-dimentional Volterra-operators. This class summarizes the class of differential equations with piesewise constants arguments, which was studied by many authors (Cooke K.L., Wiener J., Turner G. and others). We propose the method of these systems integration. For concrete equations of this class the areas of asymptotical stability were found.

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