Mathematician:Aleksandr Mikhailovich Lyapunov

Mathematician

Russian mathematician, mechanician and physicist, known for his development of the stability theory of a dynamical system, as well as for his many contributions to mathematical physics and probability theory.

Nationality

Russian

History

• Born: 6 June 1857 in Yaroslavl, Russia
• Died: 3 November 1918 in Odessa, Russia

Theorems and Definitions

• Lyapunov Equation
• Lyapunov Exponent
• Lyapunov Fractal
• Lyapunov Function
• Lyapunov Stability
• Lyapunov's Stability Theorem
• Lyapunov Time
• Lyapunov's Central Limit Theorem
• Lyapunov's Condition
• Lyapunov–Malkin Theorem (with Ioel Gilevich Malkin)
• Lyapunov-Schmidt Reduction (with Erhard Schmidt)

Results named for Aleksandr Mikhailovich Lyapunov can be found here.

Definitions of concepts named for Aleksandr Mikhailovich Lyapunov can be found here.

Publications

• 1884: On the stability of ellipsoidal figures of equilibrium of a rotating fluid
• 1892: The general problem of the stability of motion
• 1897: Sur certaines questions qui se rattachent au problème de Dirichlet
• 1901: Nouvelle forme du théorème sur la limite de probabilité
• 1901: Sur un théorème du calcul des probabilités
• 1902: Sur une série dans la théorie des équations différentielles linéaires du second ordre à coefficients périodiques
• 1903: Recherches dans la théorie de la figure des corps célestes
• 1904: Sur l'équation de Clairaut et les équations plus générales de la théorie de la figure des planètes

Also known as

In Russian: Алекса́ндр Миха́йлович Ляпуно́в.

His name can be seen transliterated as Liapunov.

Sources

• John J. O'Connor and Edmund F. Robertson: "Aleksandr Mikhailovich Lyapunov": MacTutor History of Mathematics archive