Geodesic
Some conditions for the existence of a~total differential at a~point
Sbornik. Mathematics, Tome 201 (2010) no. 8, pp. 1135-1152

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We give sufficient conditions for the existence of a total differential at a point (including a boundary point) of a function whose generalized derivatives lie in some weighted classes. Bibliography: 8 titles.
Keywords: total differential, functions with generalized derivatives. 
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     author = {V. M. Miklyukov},
     title = {Some conditions for the existence of a~total differential at a~point},
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     volume = {201},
     number = {8},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2010_201_8_a3/}
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V. M. Miklyukov. Some conditions for the existence of a~total differential at a~point. Sbornik. Mathematics, Tome 201 (2010) no. 8, pp. 1135-1152. http://geodesic.mathdoc.fr/item/SM_2010_201_8_a3/