2014

• 1.

  Borisov A. V., Kudryashov N. A.

  Paul Painlev? and His Contribution to Science
  Regular and Chaotic Dynamics, 2014, vol. 19, no. 1, pp. 1-19
  Abstract          pdf  (1.89 Mb)

  The life and career of the great French mathematician and politician Paul Painlevé is described. His contribution to the analytical theory of nonlinear differential equations was significant. The paper outlines the achievements of Paul Painlevé and his students in the investigation of an interesting class of nonlinear second-order equations and new equations defining a completely new class of special functions, now called the Painlevé transcendents. The contribution of Paul Painlevé to the study of algebraic nonintegrability of the $N$-body problem, his remarkable observations in mechanics, in particular, paradoxes arising in the dynamics of systems with friction, his attempt to create the axiomatics of mechanics and his contribution to gravitation theory are discussed.

  
  

  Keywords:	mathematician, politician, Painlev? equations; Painlev? transcendents; Painlev? paradox
  Citation:	Borisov A. V., Kudryashov N. A., Paul Painlev? and His Contribution to Science, Regular and Chaotic Dynamics, 2014, vol. 19, no. 1, pp. 1-19
  DOI:	10.1134/S1560354714010018
  Full text:	pdf (1.89 Mb)

  Journal Info

  Impact-factor WoS (2014):	0.860
  ISSN (print):	1560-3547
  ISSN (online):	1468-4845
  Site:	http://rcd.ics.org.ru/