This article is cited in 1 paper

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.

UDC: 517.9

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

Received: 29.11.1971

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

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