Spaces of initial data for differential equations in a~Hilbert space
Sbornik. Mathematics, Tome 194 (2003) no. 9, pp. 1411-1426

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Spaces of initial data for differential equations in a Hilbert space are considered. Necessary and sufficient conditions for the strong solubility of parabolic differential-difference equations and parabolic functional differential equations with dilated and contracted variables are obtained.
@article{SM_2003_194_9_a5,
     author = {R. V. Shamin},
     title = {Spaces of initial data for differential equations in {a~Hilbert} space},
     journal = {Sbornik. Mathematics},
     pages = {1411--1426},
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     number = {9},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2003_194_9_a5/}
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R. V. Shamin. Spaces of initial data for differential equations in a~Hilbert space. Sbornik. Mathematics, Tome 194 (2003) no. 9, pp. 1411-1426. http://geodesic.mathdoc.fr/item/SM_2003_194_9_a5/