4 citations · 16 across the 30 of their papers we have counts for
11 papers · 2 filters
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…
Caratheodory's solution of the Cauchy problem and question Z.Grande
Volodymyr Mykhaylyuk, Vadym Myronyk
It is shown that for a function which is measurable with respect to the first variable and upper semicontinuous quasicontinuous and increasing with res…
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…
The discontinuity points set of separately continuous functions on the products of compacts
V. V Mykhaylyuk
It is solved a problem of construction of separately continuous functions on the product of compacts with a given discontinuity points set. We obtaine the following results. 1. For…
Metrizable compacta in the space of continuous functions with the topology of pointwise convergence
V. V. Mykhaylyuk
We prove that every point-finite family of nonempty functionally open sets in a topological space has the cardinality at most an infinite cardinal if and only if $w(X)\leqκ…
The Namioka property of -functions and Kempisty spaces
V. V. Mykhaylyuk
A topological space is called a Kempisty space if for any Baire space every function , which is quasi-continuous in the first variable and continuo…