Aleksandr Lyapunov, the man who created the modern theory of stability

Document Type : Translation Paper

Author

Department of Statistics, Faculty of Sciences, Imam Khomeini International University, Qazvin

Abstract

The outstanding Russian mathematician Aleksandr M. Lyapunov passed away one hundred years ago, on November 6, 1918. Honouring his memory, we recall the main events of his life when he was a student, then from the years in Saint Petersburg until 1885, from the Kharkov period, finally from his second period in Saint Petersburg from 1902. We recount the main fields of his scientific activity (stability theory, potential theory, probability theory, shape of planets) concerning stability theory and chaos in details.

Keywords

Main Subjects

References

[1] E. A. Barbashin, Lyapunov Functions, Nauka, Moscow, 1970.
[2] L. Hatvani, Alekszandr Ljapunov, aki rendet csinált a stabilitáselméletben (in Hungarian) [Aleksandr Lyapunov, who has put stability theory in order], Magyar Tudomány, 180 (2019) 255–265. https://doi.org/10.1556/2065.180.2019.1.10.
[3] A. M. Lyapunov, Collected works, (in Russian), Academy of Sciences of Soviet Union, Moscow, 1948.
[4] A. M. Lyapunov, Lectures in theoretical mechanics, (in Russian), Naukova Dumka, Kiev, 1982.
[5] Y. Sinai, Russian mathematicians in the 20th century, World Scientific, New Jersey, 2003. https://doi.org/10.1142/4499;Zbl1079.01023.
Mathematics and Society
Volume 7, Issue 4 - Serial Number 4
December 2022
Pages 1-10

Files

History

  • Receive Date: 12 December 2022
  • Revise Date: 27 February 2023
  • Accept Date: 20 January 2023
  • Publish Date: 20 February 2023

Share

How to cite

Statistics