4 citations · 16 across the 30 of their papers we have counts for
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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…
On the mixed derivatives of a separately twice differentiable function
Volodymyr Mykhaylyuk
We prove that a function of real variables defined on a rectangle, having square integrable partial derivatives and , has almost everywhere mixed deriva…
On the sum of a narrow and a compact operators
Volodymyr Mykhaylyuk
Our main technical tool is a principally new property of compact narrow operators which works for a domain space without an absolutely continuous norm. It is proved that for every…