Geodesic
On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in a~Banach space
Izvestiya. Mathematics , Tome 6 (1972) no. 6, pp. 1327-1379

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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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     author = {B. A. Plamenevskii},
     title = {On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in {a~Banach} space},
     journal = {Izvestiya. Mathematics },
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     volume = {6},
     number = {6},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_6_a7/}
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B. A. Plamenevskii. On the existence and asymptotics of solutions of differential equations with unbounded operator coefficients in a~Banach space. Izvestiya. Mathematics , Tome 6 (1972) no. 6, pp. 1327-1379. http://geodesic.mathdoc.fr/item/IM2_1972_6_6_a7/