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MR1704587 (2001j:34072) 34G10 (47B38 47D09)
Gavrilyuk, Ivan P. Strongly $P$-positive operators and explicit representations of the solutions of initial value problems for second-order differential equations in Banach space. J. Math. Anal. Appl. 236 (1999), no. 2, 327--349.
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