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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 2, Pages 121–134 (Mi smj1679)  
Solvability of differential equations in scales of Banach spaces

V. I. Nazarov
Full-text PDF (1102 kB)
Abstract: Solvability and uniqueness of a solution for the Cauchy problem for differential equations in scales of Banach spaces are studied under the condition that power series in the operators of equations are absolutely convergent. In the basic cases, sufficient conditions for solvability are expressed only in terms of two spaces of the scale, namely: the initial data space and the solution space.
Received: 07.01.1990
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 2, Pages 307–319
DOI: https://doi.org/10.1007/BF00970956
Bibliographic databases:
UDC: 517.937
Language: Russian
Citation: V. I. Nazarov, “Solvability of differential equations in scales of Banach spaces”, Sibirsk. Mat. Zh., 34:2 (1993), 121–134; Siberian Math. J., 34:2 (1993), 307–319
Citation in format AMSBIB
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\by V.~I.~Nazarov
\paper Solvability of differential equations in scales of Banach spaces
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 2
\pages 121--134
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1223761}
\zmath{https://zbmath.org/?q=an:0835.34077}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 2
\pages 307--319
\crossref{https://doi.org/10.1007/BF00970956}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LK58100012}
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    		Сибирский математический журнал Siberian Mathematical Journal
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