Springer Proceedings in Mathematics & Statistics Sandra Pinelas Arkadii Kim Victor Vlasov   Editors Mathematical Analysis With Applications In Honor of the 90th Birthday of Constantin Corduneanu, Ekaterinburg, Russia, July 2018 Springer Proceedings in Mathematics & Statistics Volume 318 Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today. More information about this series at http://www.springer.com/series/10533 Sandra Pinelas Arkadii Kim Victor Vlasov (cid:129) (cid:129) Editors Mathematical Analysis With Applications In Honor of the 90th Birthday of Constantin Corduneanu, Ekaterinburg, Russia, July 2018 123 Editors Sandra Pinelas ArkadiiKim Department ofExact Sciences UralBranch andEngineering Russian Academy of Sciences PortugueseMilitary Academy Yekaterinburg, Russia Amadora,Portugal Victor Vlasov Faculty of MechanicsandMathematics Moscow State University Moscow,Russia ISSN 2194-1009 ISSN 2194-1017 (electronic) SpringerProceedings in Mathematics& Statistics ISBN978-3-030-42175-5 ISBN978-3-030-42176-2 (eBook) https://doi.org/10.1007/978-3-030-42176-2 Mathematics Subject Classification (2010): 34Kxx, 35R30, 49J15, 49J21, 54-XX, 70K55, 92Bxx, 97Mxx,65D18,68P20 ©SpringerNatureSwitzerlandAG2020 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. 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ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Organization TheInternationalConference“CONCORD-90”isdedicatedtothe90thanniversary of Prof. Constantin Corduneanu, professor emeritus of the University of Texas at Arlington,theoutstandingresearcherinOscillations,StabilityandControlTheory. Organizers UralFederalUniversitynamedafterthefirstPresidentofRussiaB.N.YeltsinUral State Agrarian University Program Committee Arkadii Kim, Conference Co-chair, Ural Federal University, Russia Tuncay Aktosun, Conference Co-chair, University of Texas at Arlington, USA Organizing Committee Nadia Andryushechkina, Ural State Agrarian University, Russia Viorel Barbu, University of Iasi, Romania Michael Blizorukov, Ural Federal University, Russia Gennady Bocharov, Institute of Numerical Mathematics RAS, Russia Victor Vlasov, Moscow State University, Russia Constantin Corduneanu, University of Texas at Arlington, USA Ishtvan Gyori, University of Pannonia, Hungary Alexey Ivanov, Ural Federal University, Russia Vlad Kim, Ural Federal University, Russia v vi Organization Valentin Kormyshev, Ural Federal University, Russia Andrey Krasovskii, International Institute for Applied Systems Analysis, Austria William Layton, University of Pittsburgh, USA Andrey Lozhnikov, Ural Federal University, Russia Maxim Novikov, Ural Federal University, Russia Sandra Pinelas, Academia Militar, Portugal Alexander Sesekin, Ural Federal University, Russia Alexander Skubachevskii, RUDN University, Russia Evgeny Zhukovskiy, Tambov State University, Russia Preface This volume is the proceedings of the conference dedicated to 90th anniversary of Prof. Constantin Corduneanu (1928–2018). Professor Corduneanu participated in the conference. Unfortunately, Prof. Corduneanu passed away at the end of 2018 and this edition is our tribute and gratitude to the great mathematician. Professor Corduneanu with students vii viii Preface The conference was organized by the Ural Federal University where Prof. Corduneanu was awarded an honorary doctorate in 2010 and the Ural State Agrarian University. For the proceedings we have used the same autobiography prepared by Prof. Corduneanu in 2010 when he was elected to receive the honorary doctorate at the UralFederalUniversity.Wedidnotedittheautobiographytopreservetheauthor’s spirit and style. Amadora, Portugal Sandra Pinelas Yekaterinburg, Russia Arkadii Kim Moscow, Russia Victor Vlasov Autobiography Constantin Corduneanu The autobiography was written for the award of the honorary doctor by the Ural State University, 2010 I was born on July 26, 1928, in the City of Iasi, Province of Moldova, Romania, from the parents Costache and Aglaia Corduneanu. At that time, my parents were teachers in the village Potangeni, commune Movileni in the District of Iasi. This was also the place where my paternal grandparents were living, situated at a dis- tance of about 25 km of the City of Iasi (also known as Jassy). I did get the elementary education at the school in the village where my parents were living, having as teachers my own parents and some other teachers who taught at the school (including some uncles). Attheageof12,in1940,IhadtogototheCityofIasiforgettingmysecondary education.Ididnotwanttotaketheadviceofmyparentsormygrandfather,Itook instead the idea of one of my uncles, who during the WW1 was a sergeant in the Romanian Cavalry and participated at the war against Austro-Hungary and Germany.Alsohewasveryproudofhavingtakenpartinthecampaignagainstthe Communist Republic of Kuhn Bela that had been established immediately after WW1. So, I decided to participate in the competition for a place at the Military LyceumofIasi,andIhavebeenadmittedthere,asthe10th,from400competitors. Fouryearslater,in1944,whenthecapacityexamhadtobetakenforpromotionto the second stage of secondary education, I had been classified the first among my peers, with a special mention for good answers in Mathematics. In 1945 I have been transferred from office to the National Military College “Nicolae Filipescu” in Predeal (in the Carpathian Mountains). There I finished my secondaryeducationin1947,undertheguidanceofverywelltrainedteachers(most of them were hired in the institutions of higher education, in 1948, when this elite schoolhadbeenclosedbythegoverment).Inparticular,myMathematicsteacherin PredealwasaformerAssistantofDimitriePompeiu,awell-knownnameinComplex Analysis.Ihaveparticipatedinwhatisnowadayscalled“MathematicalOlympiad”,in ix