Geodesic
Solubility and properties of solutions of functional-differential equations in Hilbert space
Sbornik. Mathematics, Tome 186 (1995) no. 8, pp. 1147-1172

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A class of functional-differential equations of neutral type with coefficients that are functions taking values in the set of (in general, unbounded) operators in separable Hilbert space is considered. For such equations results on the well-posed solubility of initial-boundary-value problems on the semiaxis in Sobolev weighted spaces are established. 
@article{SM_1995_186_8_a2,
     author = {V. V. Vlasov},
     title = {Solubility and properties of solutions of functional-differential equations in {Hilbert} space},
     journal = {Sbornik. Mathematics},
     pages = {1147--1172},
     publisher = {mathdoc},
     volume = {186},
     number = {8},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_8_a2/}
}
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V. V. Vlasov. Solubility and properties of solutions of functional-differential equations in Hilbert space. Sbornik. Mathematics, Tome 186 (1995) no. 8, pp. 1147-1172. http://geodesic.mathdoc.fr/item/SM_1995_186_8_a2/