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 Izv. Akad. Nauk SSSR Ser. Mat., 1972, Volume 36, Issue 6, Pages 1348–1401 (Mi izv2375)

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

B. A. Plamenevskii

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.

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English version:
Mathematics of the USSR-Izvestiya, 1972, 6:6, 1327–1379

Bibliographic databases:

UDC: 517.9
MSC: Primary 35A05, 35B40, 35R20; Secondary 47F05, 47G05

Citation: B. A. Plamenevskii, “On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in a Banach space”, Izv. Akad. Nauk SSSR Ser. Mat., 36:6 (1972), 1348–1401; 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 Izv. Akad. Nauk SSSR Ser. Mat. \yr 1972 \vol 36 \issue 6 \pages 1348--1401 \mathnet{http://mi.mathnet.ru/izv2375} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=410140} \zmath{https://zbmath.org/?q=an:0265.34076} \transl \jour Math. USSR-Izv. \yr 1972 \vol 6 \issue 6 \pages 1327--1379 \crossref{https://doi.org/10.1070/IM1972v006n06ABEH001921} 

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Erratum

This publication is cited in the following articles:
1. B. A. Plamenevskii, “On the asymptotic behavior of solutions of quasielliptic differential equations with operator coefficients”, Math. USSR-Izv., 7:6 (1973), 1327–1370
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