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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 90–91 (Mi iimi42)  
The test-equation method in investigation of stability of functional differential equations

V. V. Malygina

Perm State National Research Polytechnical University
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Abstract: A method is proposed for investigation of stability of solutions to linear scalar functional differential equations. A test equation is put into correspondence to a family of equations of a class being investigated. The study of properties of the test equation makes it possible to obtain an effective description of the stability regions of all equations of the family.
Keywords: differential equation with aftereffect, exponential stability, uniform stability.
Received: 15.02.2012
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 34K20
Language: Russian
Citation: V. V. Malygina, “The test-equation method in investigation of stability of functional differential equations”, Izv. IMI UdGU, 2012, no. 1(39), 90–91
Citation in format AMSBIB
\Bibitem{Mal12}
\by V.~V.~Malygina
\paper The test-equation method in investigation of stability of functional differential equations
\jour Izv. IMI UdGU
\yr 2012
\issue 1(39)
\pages 90--91
\mathnet{http://mi.mathnet.ru/iimi42}
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    		Известия Института математики и информатики Удмуртского государственного университета
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