Geodesic
On the~class of semigroups of linear bounded operators
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1177-1186

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The semigroup of linear bounded operators admitting a singularity not connected with a singularity of the derivative of the semigroup is considered, where the generator of the semigroup may have non-dense domain. Fractional powers of the generator are studied and the theorem of Cauchy problem solvability for the differential equation with an operator coefficient is given. 
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     author = {Yu. T. Sil'chenko},
     title = {On the~class of semigroups of linear bounded operators},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a11/}
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Yu. T. Sil'chenko. On the~class of semigroups of linear bounded operators. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 4, pp. 1177-1186. http://geodesic.mathdoc.fr/item/FPM_2001_7_4_a11/