Mathematics as platform for new research and international cooperation: international conference opens at YSU

YSU Vice-Rector for Scientific Affairs Rafayel Barkhudaryan emphasized the importance of organizing international scientific events, saying, "All scientific events at YSU are a focus of our attention. We strive to organize as many conferences as possible and invite colleagues from abroad, as such cooperation is important for the international development of science."  

Artur Sahakyan, Dean of the YSU Faculty of Mathematics and Mechanics, noted that the series of international conferences on "Mathematical Analysis and Differential Equations" began more than 10 years ago through cooperation between the Institute of Mathematics of the National Academy of Sciences of the Republic of Armenia and the Institute of Mathematics of the Russian Academy of Sciences.

"Initially, it was an Armenian-Russian conference, held every two years in Yerevan and various Russian cities, but it has since expanded and become international. These fields belong to fundamental science, but the applications of differential equations are almost unlimited, ranging from the motion of bodies and flight control to the study of the spread and control of epidemics," he said.

According to Professor Aghavard Khachatryan, Chair of the Conference Organizing Committee, a researcher at the Institute of Mathematics of the National Academy of Sciences of the Republic of Armenia, and Head of the Chair of Higher Mathematics at the Armenian National Agrarian University, 45 participants have arrived from abroad this year, including from Russia, Germany, Portugal, Slovenia, Italy, France, the Czech Republic, Kazakhstan, the United Arab Emirates and Israel.

Khachatryan particularly emphasized that around 30% of the conference participants are young researchers.

"A special issue of the Q3-ranked Journal of Mathematical Sciences is planned to be dedicated to the conference papers. The papers will undergo double peer review and, if they receive positive reviews, will be published in the journal, which is particularly important for the professional advancement of young scientists," he said.

Khachatryan also discussed the applied dimensions of the field, noting that mathematical analysis and differential equations are used in the kinetic theory of gases, astrophysics and mathematical biology. Referring to epidemics, he said that one of their research projects involved developing a mathematical model to predict the duration of an epidemic's spread and the maximum number of people who may become infected. He also emphasized that mathematical analysis underpins artificial intelligence, which is now widely used.

Alexey Karapetyants, Editor-in-Chief of the Journal of Mathematical Sciences and Director of the Regional Scientific and Educational Mathematical Center at Southern Federal University, presented the journal, noting that it has a history of more than 50 years and that four years ago it launched the "Series A direct submission" section for the submission of scientific articles.

Referring to the research he prepared for the conference, Karapetyants said it focuses on Hadamard-Bellman operators, which he has been studying since 2020.

"This is a new topic in operator theory and harmonic analysis. These operators have broad applications in mechanics and physics, including quantization procedures and a range of problems in applied sciences," he added.

The four-day conference will conclude on October 1.