Theory of differential equations. Part 1. Exact aquations and Pfaff's problem ; Part 2, vol. 2. Ordinary equations, not linear / Forsyth, Andrew Russell (1959)

Theory of differential equations. Part 1. Exact aquations and Pfaff's problem ; Part 2, vol. 2. Ordinary equations, not linear [texte imprimé] / Forsyth, Andrew Russell, Auteur . - New York : Dover publications, 1959 . - 1 vol. (XIII, 340, XI, 344) p. ; 21 cm.
Six volumes bound as three; this volume contains two parts
Index
Langues : Anglais (eng)

Mots-clés :	Équations différentielles Pfaff, Équations de
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 : Part. 1 1. Single exact equation 2. System of exact equations 3. Historical summary of methods of treating Pfaff's problem 4. Pfaff's reduction, completed as by Gauss and Jacobi 5. Grassmann's method 6. Natani's method 7. Application to partial differential equations of the first order 8. Clebsch's method 9. Tangential transformations 10. Lie's method 11. Frobenius method 12. Abstract of darboux's method 13. Systems of Pfaffians Part. 2 1. Cauchy's theorem on the existence of regular integrals of a system of equations 2. Classes of non-ordinary points connected with the form of the equation of the first order and first degree in the derivative 3. Influence, upon the integral, of an oxidental singularity of the first kind possessed by the equation 4. Reduction of the differential equation to final typical forms, valid in the vicinity of an occidental singularity of the second kind 5. The character of the integrals possessed by the respective reduced forms of the original equation in the vicinity of the accidental singularity of the second kind 6. Effect, upon integrals, of essential singularities of the equation 7. Branch-points of an equation of the first order and any degree, as determined by the equation : singular and particular solutions 8. Differential equations of the first order having their integrals free from parametric branch-ponits 9. Equations of first order with uniform integrals, and with algebrical integrals