Ural Mathematical Journal №1 2019 (449,00 руб.)

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Ural Mathematical Journal Vol. 5, no. 1, 2019 Electronic Periodical Scientific Journal Founded in 2015 Founders N.N.Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N.Yeltsin EDITORIAL TEAM EDITOR-IN-CHIEF Vitalii I. Berdyshev, Academician of RAS, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia DEPUTY CHIEF EDITORS Vitalii V. Arestov, Ural Federal University, Ekaterinburg, Russia Nikolai Yu. Antonov, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Vladislav V. Kabanov, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia SCIETIFIC EDITORS Tatiana F. Filippova, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Vladimir G. Pimenov, Ural Federal University, Ekaterinburg, Russia EDITORIAL COUNCIL Alexander G. Chentsov, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Alexander A. Makhnev, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Irina V. Melnikova, Ural Federal University, Ekaterinburg, Russia Fernando Manuel Ferreira Lobo Pereira, Faculdade de Engenharia da Universidade do Porto, Porto, Portugal Stefan Pickl, University of the Federal Armed Forces, Munich, Germany Szilárd G. Révész, Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences. Budapest, Hungary Lev B. Ryashko, Ural Federal University, Ekaterinburg, Russia Arseny M. Shur, Ural Federal University, Ekaterinburg, Russia Vladimir N. Ushakov, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Vladimir V. Vasin, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Mikhail V. Volkov, Ural Federal University, Ekaterinburg, Russia EDITORIAL BOARD Elena N. Akimova, Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Science, Ekaterinburg, Russia, Russia Alexander G. Babenko, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Vitalii A. Baranskii, Ural Federal University, Ekaterinburg, Russia Elena E. Berdysheva, Department of Mathematics, Justus Liebig University, Giessen, Germany Alexey R. Danilin, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Yuri F. Dolgii, Ural Federal University, Ekaterinburg, Russia Vakif Dzhafarov (Cafer), Department of Mathematics, Anadolu University, Eskişehir, Turkey Polina Yu. Glazyrina, Ural Federal University, Ekaterinburg, Russia Mikhail I. Gusev, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Éva Gyurkovics, Department of Differential Equations, Institute of Mathematics, Budapest University of Technology and Economics, Budapest, Hungary Marc Jungers, National Center for Scientific Research (CNRS), CRAN, Nancy and Université de Lorraine, CRAN, Nancy, France Mikhail Yu. Khachay, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Anatolii F. Kleimenov, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Anatoly S. Kondratiev, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Vyacheslav I. Maksimov, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Dmitrii A. Serkov, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia Alexander N. Sesekin, Ural Federal University, Ekaterinburg, Russia Alexander M. Tarasyev, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia MANAGING EDITOR Oxana G. Matviychuk, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia TECHNICAL ADVISOR Alexey N. Borbunov, Ural Federal University, Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia  URAL MATHEMATICAL JOURNAL ISSN 2414-3952 (Online) https://umjuran.ru The Journal is registered by the Federal Service for Supervision in the Sphere of Communication, Information Technologies and Mass Communications Certificate of Registration of the Mass Media Эл № ФС77-61719 of 07.05.2015 Contact Information 16 S. Kovalevskaya str., Ekaterinburg, Russia, 620990 Phone: +7 (343) 375-34-73 Fax: +7 (343) 374-25-81 Email: secretary@umjuran.ru Web-site: https://umjuran.ru

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TABLE OF CONTENTS Abdelouaheb Ardjouni , Ahcene Djoudi APPROXIMATING SOLUTIONS OF NONLINEAR HYBRID CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS VIA DHAGE ITERATION PRINCIPLE……………. 3–12 Abdulla A. Azamov, Jasurbek A. Bakhramov, Odiljon S. Akhmedov ON THE CHERNOUS'KO TIME-OPTIMAL PROBLEM FOR THE EQUATION OF HEAT CONDUCTIVITY IN A ROD……………………………………………………………………...... 13–23 Anton O. Belyakov ON NECESSARY OPTIMALITY CONDITIONS FOR RAMSEY-TYPE PROBLEMS…………. 24–30 Alexander G. Chentsov TO A QUESTION ON THE SUPERCOMPACTNESS OF ULTRAFILTER SPACES…………… 31–47 Peter V. Danchev COMMUTATIVE WEAKLY INVO–CLEAN GROUP RINGS…………………………………… 48–52 Mohamed El Hamma, Hamad Sidi Lafdal, Nisrine Djellab, Chaimaa Khalil JACOBI TRANSFORM OF ( , , )p -JACOBI–LIPSCHITZ FUNCTIONS IN THE SPACE L ( , t dt ………………………………………………………………………….. 53–58 p  ( , ) ( ) ) Joseph L. Shomberg REGULAR GLOBAL ATTRACTORS FOR WAVE EQUATIONS WITH DEGENERATE MEMORY…………………………………………………………………………………………… 59–82 Srinivasarao Thota A NEW ROOT–FINDING ALGORITHM USING EXPONENTIAL SERIES…………………….. 83–90 Dmitry A. Yamkovoi HARMONIC INTERPOLATING WAVELETS IN NEUMANN BOUNDARY VALUE PROBLEM IN A CIRCLE…………………………………………………………………………... 91–100 Sergey V. Zakharov ASYMPTOTIC SOLUTIONS OF A PARABOLIC EQUATION NEAR SINGULAR POINTS OF A AND B TYPES……………………………………………………………………………... 101–108 German L. Zavorokhin A MATHEMATICAL MODEL OF AN ARTERIAL BIFURCATION……………………………. 109–126

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