# Matematychni Studii Vol. 43, No.1, 2015

## CONTENTS

 Contents 1
 Free $n$-nilpotent trioids Zhuchok Yul. V. 3
 Derivations as homomorphisms or anti-homomorphisms in differentially semiprime rings Lukashenko M. P. 12
 Wiman's inequality for entire functions of several complex variables with rapidly oscillating coefficients Kuryliak A. O., Shapovalovska L. O. 16
 Aggregate properties of mappings that are associated with the closedness of a graph (in Ukrainian) Nesterenko V. V. 27
 Strongly separately continuous functions and a characterization of open sets in a box-product (in Ukrainian) Karlova Î. 36
 On a property of pairs of almost periodic zero sets Favorov S. Yu., Girya N. P. 43
 Some inequalities for inner radii of pair-wise disjoint domains and open sets (in Ukrainian) Targonskii A. L. 51
 The Riesz measures and a representation of multiplicatively periodic $\delta$-subharmonic functions in a punctured Euclidean space Khoroshchak V. S., Kondratyuk A. A. 61
 Optimal control problem for quasilinear hyperbolic system: the Slutsky equation (in Ukrainian) Derevianko T. O., Kyrylych V. M. 66
 On $L$-separatedness and $L$-regularity of the Ceder products Maslyuchenko V. K., Maslyuchenko O. V., Myronyk O. D. 78

## RESEARCH ANNOUNCEMENTS

 Metric estimates of the characteristic determinant of an interpolation problem with nodes, one of which is multiple, for a linear partial differential equation (in Ukrainian) Symotyuk M. M. 88
 Azarin limit sets for Radon measures. I (in Russian) Grishin A. F., Quynh N. V. 94

## PROBLEM SECTION

 On the division of a characteristic function by the Blaschke product Il'inskii A. I. 100
 Open problems for entire functions of bounded index in direction Bandura A. I., Skaskiv O. B. 103
 Open problems in the theory of fuzzy metric spaces Savchenko A., Zarichnyi M. 110

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