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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 74–75 (Mi iimi34)  
Regions of stability for a difference equation

A. Yu. Kulikov

Precision Mechanics Company Ltd.
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Abstract: Stability of scalar difference equations with one delay is investigated. Restrictions are layed consequently on coefficients and delays of the linear nonautonomous equation of general form. First we consider the equation with arbitrary coefficients and delays, then the equation with limited delays, the one with constant coefficients, and, at last, the autonomous equation. It is demonstrated how the region of stability is expanded.
Keywords: difference equations, equations with delay.
Received: 14.02.2012
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 39A30
Language: Russian
Citation: A. Yu. Kulikov, “Regions of stability for a difference equation”, Izv. IMI UdGU, 2012, no. 1(39), 74–75
Citation in format AMSBIB
\Bibitem{Kul12}
\by A.~Yu.~Kulikov
\paper Regions of stability for a difference equation
\jour Izv. IMI UdGU
\yr 2012
\issue 1(39)
\pages 74--75
\mathnet{http://mi.mathnet.ru/iimi34}
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    		Известия Института математики и информатики Удмуртского государственного университета
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