Lipschitz

Rudolf Otto Sigismund Lipschitz


Born: 14 May 1832 in Königsberg, Germany (now Kaliningrad, Russia)
Died: 7 Oct 1903 in Bonn, Germany

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Rudolf Lipschitz worked on quadratic differential forms and mechanics. His work on the Hamilton-Jacobi method for integrating the equations of motion of a general dynamical system led to important applications in celestial mechanics.

Lipschitz is remembered for the 'Lipschitz condition', an inequality that guarantees a unique solution to the differential equation y' = f(x,y). Peano gave an existence theorem for this differential equation, giving conditions which guarantee at least one solution.

References:

  1. Dictionary of Scientific Biography
  2. H Kortum, Rudolf Lipschitz, Jahresberichte der Deutschen Mathematiker vereinigung 15 (1906), 56-59.

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JOC/EFR February 1996