Édouard Goursat

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The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Goursat, Édouard


Born May 21, 1858, in Langeac, department of Loire; died Nov. 25, 1936, in Paris. French mathematician. Member of the Paris Academy of Sciences (1919), professor of the University of Paris (1897), and president of the French Mathematical Society.

Goursat’s major works dealt with second-order partial differential equations as well as with the theory of analytic functions. He also developed the classification of partial differential equations based on the nature of their characteristics. He posed the problem of the integration of differential equations when the boundary conditions are prescribed along the characteristics (Goursat’s problem). His three-volume Course of Mathematical Analysis is well known (1923–25; Russian translation, 2nd edition, 1933–34).

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
The ordinary hypergeometric [19-25], confluent hypergeometric [26-29], Coulomb wave functions [30,31], Bessel and Hankel functions [32], incomplete Beta and Gamma functions [33-35], Hermite functions [36,37], Goursat and Appell generalized hypergeometric functions of two variables of the first kind [38,39], and other known special functions have been used as expansion functions.
Popivanov, "On the degenerate hyperbolic Goursat problem for linear and nonlinear equations of Tricomi type," Nonlinear Analysis, vol.
Sastry, "Trajectory generation for the n-trailer problem using Goursat normal form," Institute of Electrical and Electronics Engineers.
Pedicchio, Some remarks on Maltsev and Goursat categories, Appl.
In particular, they include so called stochastic Goursat problem (see e.g.
Devoue, "Generalized solutions to a non Lipschitz Goursat problem," Differential Equations & Applications, vol.
In this paper, we will investigate the 1-quasiconformal mappings on Goursat groups, which are stratified nilpotent Lie groups including Engel groups and a large class of high step Carnot groups.
Sastry, "Trajectory generation for the N-trailer problem using goursat normal form," IEEE Transactions on Automatic Control, vol.
Goursat, "Lemons sur l'integration des equations aux derivees partielles premier ordre," Paris 1891; Zweite Auflage, J.