# Matematychni Studii Vol. 51, No.2, 2019

## CONTENTS

 Title 1
 Contents 2
 The double star sequences and the general second Zagreb index Bedratyuk L. 115
 Rings with the Kazimirsky condition and rings with projective socle Zabavsky B. V., Romaniv O. M. 124
 On the transcendental meromorphic solutions of a certain class of differential equations Majumder S., Dam A. 130
 Weak solutions to the complex Monge-Ampere equation on open subsets of $\mathbb{C}^n$ V. V. Quan, L.\ M.\ Hai 143
 Locally univalence of Dirichlet series satisfying a linear differential equation of the second order with exponential coefficients Sheremeta M. M. 152
 Analysis of the solutions of the differential non-linear equations describing the information spreading process with jump discontinuity Nakonechnyi O. G., Zinko P. M., Shevchuk I. M. 159
 Identification of the unknown parameters in the parabolic equation in a free boundary domain (in Ukrainian) Huzyk N. M. 168
 $S_{\lambda }\big(\mathcal{I}\big)$-convergence of complex uncertain sequence Kisi O. 183

## RESEARCH ANNOUNCEMENTS

 On generalized preopen sets Mukharjee A., Roy R. M. 195

## CHRONICLE

 On mathematical realism and applicability of hyperreals Bottazzi E., Kanovei V., Katz M., Mormann T., Sherry D. 200

Matematychni Studii
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