Geodesic
Linear differential equation with non-densely defined operator coefficient, generating a~non-analytical semigroup
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 295-300

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The solvability of the Cauchy problem for the linear differential equation with operator coefficient is established when this coefficient is not densely defined and generates a semigroup with a singularity. 
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     author = {Yu. T. Sil'chenko},
     title = {Linear differential equation with non-densely defined operator coefficient, generating a~non-analytical semigroup},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {295--300},
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     number = {1},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a20/}
}
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Yu. T. Sil'chenko. Linear differential equation with non-densely defined operator coefficient, generating a~non-analytical semigroup. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 295-300. http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a20/