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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 159–160 (Mi iimi75)  
On sharpness of sufficient conditions of stability for differential equations with delay

K. M. Chudinov

Perm State National Research Polytechnical University
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Abstract: For stability of nonautonomous linear scalar equations with retarded argument and nonnegative coefficient, we consider conditions that have the form of an upper estimate for the integral of the coefficient over a certain interval. It is demonstrated that 2 is the least upper bound for the set of values of the integral that guarantee stability for some lenth of the interval of integration. The analogous result is obtained for a difference equation.
Keywords: differential equation with several delays, stability, effective conditions, explicit conditions.
Received: 15.02.2012
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 34K20, 39A30
Language: Russian
Citation: K. M. Chudinov, “On sharpness of sufficient conditions of stability for differential equations with delay”, Izv. IMI UdGU, 2012, no. 1(39), 159–160
Citation in format AMSBIB
\Bibitem{Chu12}
\by K.~M.~Chudinov
\paper On sharpness of sufficient conditions of stability for differential equations with delay
\jour Izv. IMI UdGU
\yr 2012
\issue 1(39)
\pages 159--160
\mathnet{http://mi.mathnet.ru/iimi75}
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