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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 6, Pages 1327–1379
DOI: https://doi.org/10.1070/IM1972v006n06ABEH001921 (Mi im2375) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in a Banach space

B. A. Plamenevskii
English version PDF (1619 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1972v006n06ABEH001921
Abstract: In this work theorems are proved concerning existence and uniqueness of solutions of differential equations of arbitrary order with unbounded constant operator coefficients in a Banach space. Asymptotic formulas are given for solutions of equations with variable coefficients.
Received: 29.11.1971
Bibliographic databases:
UDC: 517.9
MSC: Primary 35A05, 35B40, 35R20; Secondary 47F05, 47G05
Language: English
Original paper language: Russian
Citation: B. A. Plamenevskii, “On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in a Banach space”, Math. USSR-Izv., 6:6 (1972), 1327–1379
Citation in format AMSBIB
\Bibitem{Pla72}
\by B.~A.~Plamenevskii
\paper On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in a~Banach space
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 6
\pages 1327--1379
\mathnet{http://mi.mathnet.ru//eng/im2375}
\crossref{https://doi.org/10.1070/IM1972v006n06ABEH001921}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=410140}
\zmath{https://zbmath.org/?q=an:0265.34076}
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  • https://www.mathnet.ru/eng/im/v36/i6/p1348
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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