Geodesic
On the asymptotic behavior of solutions of differential equations in Hilbert space
Izvestiya. Mathematics, Tome 6 (1972) no. 5, pp. 1067-1116 
V. G. Maz'ya; B. A. Plamenevskii. On the asymptotic behavior of solutions of differential equations in Hilbert space. Izvestiya. Mathematics, Tome 6 (1972) no. 5, pp. 1067-1116. http://geodesic.mathdoc.fr/item/IM2_1972_6_5_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Differential equations of arbitrary order with unbounded variable operator valued coefficients in a Hilbert space are considered. Asymptotic formulas for solutions are derived under the assumption that the coefficients are “weakly stabilized” at infinity.

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