2 citations · 2 across the 4 of their papers we have counts for
4 papers
Separately continuous functions of many variables on product of spaces which are products of metrizable multipliers
V. K. Maslyuchenko, V. V. Mykhaylyuk
It is obtained necessary and sufficient conditions of dependence on coordinates for functions of several variables, each of which is a product of metrizable factors. The s…
A characterization of sets of discontinuity points of separately continuous functions of many variables on products of metrizable spaces
V. K. Maslyuchenko, V. V. Mykhaylyuk
It is shown that a set in product of metrizable spaces is the discontinuity points set of some separately continuous function if and only if this set can be represented as the…
Solving of partial differential equations under minimal conditions
V. K. Maslyuchenko, V. V. Mykhaylyuk
It is proved that a differentiable with respect to each variable function is a solution of the equation $ \frac{\partial u}{\partial x} + \frac{\partial…
Equiconnected spaces and Baire classification of separately continuous functions and their analogs
Olena Karlova, Volodymyr Maslyuchenko, Volodymyr Mykhaylyuk
We investigate the Baire classification of mappings , where belongs to a wide class of spaces, which includes all metrizable spaces, is a topological spac…