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

Theory of differential equations. Part 4, vol. 5 ; vol. 6. Partial differential equations [texte imprimé] / Forsyth, Andrew Russell, Auteur . - New York : Dover publications, 1959 . - 01 vol. (XX, 478, XIII, 596) p. ; 21 cm.
Six volumes bound as three; this volume contains two parts. - Index
Langues : Anglais (eng)

Mots-clés :	Équations différentielles
Index. décimale :	517.9 Équations différentielles. Équations intégrales. Autres équations fonctionnelles. Équations aux dérivées finies. Calcul des variations. Analyse fonctionnelle
Note de contenu :	In summary: 1. Introduction : two existence-theorems 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 6. The method of characteristics for equations in two independent variables 7. Singular integrals and their geometrical properties 8. The method of characteristics in any number of independent variables 9. Lie's methods applied to equations of the first order 10. The equations of theoretical dynamics 11. Simultaneous equations of the first order 12. General integrals of equations of orders higher than the first 13. Linear equations of the second order in two independent variables 14. Adjoint equations 15. Forms of equations of the second order in two independent variables having their general integrals in explicit finite form 16. Equation of the second order in two independent variables having an intermediate integral 17. Ampère's method applied to equations of the second order in two independent variables 18. Darboux's method and other methods for equations of the second order in two independent variables 19. Generalisation of integrals 20. Characteristics of equations of second order 21. General transformation of equations of the second order 22. Equations of the third and higher orders, in two independent variables 23. Equations of the second order in more than two independent variables, having an intermediate integral 24. Equations of the second order in three independent variables, not necessarily having an intermediate integral