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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 48–49 (Mi iimi20)  
Linear functional differential equations in space with unindefinite metric

Yu. F. Dolgiiab, D. S. Bykovb

a Ural Federal University, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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Abstract: We study the spectral properties of operator generating unindefinite metric of state space for linear functional differential equation. The results can find application in the theory of canonical decompositions of functional differential equations.
Keywords: linear functional differential equation, indefinite metric, canonical decomposition of functional differential equation.
Received: 10.02.2012
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 34K06, 34K20
Language: Russian
Citation: Yu. F. Dolgii, D. S. Bykov, “Linear functional differential equations in space with unindefinite metric”, Izv. IMI UdGU, 2012, no. 1(39), 48–49
Citation in format AMSBIB
\Bibitem{DolByk12}
\by Yu.~F.~Dolgii, D.~S.~Bykov
\paper Linear functional differential equations in space with unindefinite metric
\jour Izv. IMI UdGU
\yr 2012
\issue 1(39)
\pages 48--49
\mathnet{http://mi.mathnet.ru/iimi20}
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