Theory of differential equations. Part 2, vol. 3. Ordinary equations, not linear ; part. 3, vol. 4. Ordinary linear equations / Forsyth, Andrew Russell (1959)

Theory of differential equations. Part 2, vol. 3. Ordinary equations, not linear ; part. 3, vol. 4. Ordinary linear equations [texte imprimé] / Forsyth, Andrew Russell, Auteur . - New York : Dover publications, 1959 . - 01 vol. (X, 391, XVI, 534) 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 : Part. 2 1. Reduced forms of systems of equations of the first order in the vicinity of singulariries of the derivatives 2. The integrals of the reduced forms of a system of equations, chiffly of two dependent variables 3. Systems of equations with multiform values of the derivatives; singular solutions 4. Equations of the second order and the first degree 5. Equations of the second order and any degree 6. Equation of the second order with sub-uniform integrals : with some general considerations 7. General theorems on algebraic integrals : Brun's theorem Part 3 1. Linear equations : existence of synectic integrals : fundamental systems 2. General forms and properties of integrals near a singularity 3. Regular integrals : equation having all its integrals regular near a singularity 4. Equations having their integrals regular in the vicinity of every singularity (including infinity) 5. Linear equation of the second and the third orders possessing algebraic integrals 6. Equations having only some of their integrals regular near a singularity 7. Normal integrals : subnormal integrals 8. Infinite determinants, and their application to the solution of linear equations 9. Equations with uniform periodic coefficients 10. Equations having algebraic coefficients