Theory of differential equations. Partial differential equations. Part 4, vol. 5 ; vol. 6 / Forsyth, Andrew Russell (1959)

Theory of differential equations. Partial differential equations. Part 4, vol. 5 ; vol. 6 [texte imprimé] / Forsyth, Andrew Russell, Auteur . - New York : Dover publications, 1959 . - 1 vol. (XX, 478, XIII, 596) p. ; 21 cm.
Six volumes bound as three; this volume contains two parts. - Index .
Langues : Français (fre)

Note de contenu :

In summary : 1. Introduction : two existence-theorem 2. Cauchy's theorem 3. Linear equations and complete linear systems 4. Non linear equations : Jacobi's second method, with Mayer's development 5. Classes of integrals possessed by equations of the first order : generalization of integrals 6. The method of characteristics for equations in two independent variables : geometrical relations of the various integrals 7. Singular integrals and their geometrical properties : singularities of the characteristics 8. The method of characteristics in any number of independent variables 9. Lies's methods applied to the equations of the first order 10. The equations of theoritical dynamics 11. Simultaneous equations of the first order 12. General integrals of equations of orders higher than the first