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Bulletin of Irkutsk State University. Series Mathematics, 2012, Volume 5, Issue 2, Pages 46–54 (Mi iigum65)  
The Cauchy problem for singular systems of heat equations with Fredholm operator of time-derivative in Banach spaces

O. V. Slastnaya

Irkutsk State University, 1, K. Marks St., Irkutsk, 664003
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Abstract: In this paper matrix fundamental operator-function for singular heat operator with Fredholm operator of time-derivative is built. The formula for the generalized solution of the corresponding Cauchy problem are got.
Keywords: singular heat operator; matrix fundamental operator-function; Fredholm operator.
Document Type: Article
UDC: 517.983.51
Language: Russian
Citation: O. V. Slastnaya, “The Cauchy problem for singular systems of heat equations with Fredholm operator of time-derivative in Banach spaces”, Bulletin of Irkutsk State University. Series Mathematics, 5:2 (2012), 46–54
Citation in format AMSBIB
\Bibitem{Sla12}
\by O.~V.~Slastnaya
\paper The Cauchy problem for singular systems of heat equations with Fredholm operator of time-derivative in Banach spaces
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2012
\vol 5
\issue 2
\pages 46--54
\mathnet{http://mi.mathnet.ru/iigum65}
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