# Matematychni Studii Vol. 44, No.1, 2015

## CONTENTS

 Contents 1
 On feebly compact inverse primitive (semi)topological semigroups Gutik O., Ravsky O. 3
 On new condition of finite Lipschitz of Orlicz-Sobolev class (in Russian) Salimov R. R. 27
 Entire functions that share a polynomial with finite weight Sahoo P., Saha B. 36
 On asymptotically optimal controls in problems with fast and slow variables (in Ukrainian) Boitsova I. A. 45
 An application of integral equation method to fractional Stefan problem (in Ukrainian) Krasnoschok M. V. 56
 Orbits of smooth functions on $2$-torus and their homotopy types Maksymenko S. I., Feshchenko B. G. 67
 A modified Bishop-Phelps-Bollobas theorem and its sharpness Kadets V., Soloviova M. 84
 Boundary optimal control for systems described by parabolic problem without initial conditions (in Ukrainian) Tsebenko A. M. 89

## PROBLEM SECTION

 A note-question on partitions of semigroups Protasov I., Protasova K. 104
 A class of entire functions of unbounded index in each direction Bandura A. I. 107

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