‎BEBBOUCHI RACHID‎
‎EQUATIONS DIFFERENTIELLES ORDINAIRES‎

‎Equations différentielles ordinaires. Champs de vecteurs. Groupes à un paramètre. Diffeomorphismes. Flots. Systèmes linéaires. Stabilités des positions d'équilibre. Théorie des oscillations. Equations différentielles sur les variétés.‎

‎ 1974 Moscou, Editions Mir, 1974, in 8° relié pleine toile noire de l'éditeur, jaquette (avec infime manque de papier), 268 pages ; nombreuses figures. ‎

‎ ...................... Photos sur demande .......................... ‎

‎Mémoires sur les équations différentielles ordinaires et aux différentielles totales‎

‎Paris, Gauthier-Villars 1874 24pp., 23cm., br.orig., qqs.rousseurs, bon état, W85666‎

‎Démonstration de l'intégrabilité des équations différentielles ordinaires. - [THE PROOF OF THE EXISTENCE THEOREM - INTRODUCING THE AXIOM OF CHOICE]‎

‎Leipzig, B.G. Teubner, 1890. Orig. printed wrappers, no backstrip. A small offsetting to upper left corner of frontwrapper. A small tear to endwrapper repaired. In ""Mathematische Annalen. Gegenwärtig hrsg. von Felix Klein, Walter Dyck, Adolph Mayer, 36. Band, 2. Heft."" Pp. (153-)320. The whole issue (Heft 2) with orig.wrappers. Peano's paper: pp. 182-288.‎

‎First edition and the first appearance of this fundamental paper in which Peano gives the proof of the so-called ""Peano-Existence-Theorem"" and at the same time contains the first explicit statement of ""The axiom of choice"".The Peano-Existence-Theorem, or ""Cauchy-Peano-Theorem"" guarantees the existence of solutions to certain initial value problems. He first published the theorem in 1886 in ""Sull'integrabilita della equazioni differenziali del primo ordine"" in Atti Accad. Sci. Torino, 21, with an incorrect proof. The new correct proof appeared in this paper, as offered.""Peano's work in analysis began in 1883 with an article on the integrability of functions. The article of 1890 (the paper offered) contains notions of integrals and areas. Peano wasthe first to show that the first-order differential equation y' = f(x,y) is solvable on the sole assumption that f is continuous. His first proof dates from 1886, but its rigor leaves something to be desired. In 1890 this result was generalized to systems of differential equations using a different method of proof. This work is also notable for containing the first explicit statement of the axiom of choice. Peano rejected the axiom of choice as being outside the ordinary logic used in mathematical proofs."" (Hubert T Kennedy in DSB).‎

‎Priblizhennoye integritovaniye obyknovennogo differentsialnogo uravneniya pervogo poryadka [in cyrillic]. - (INTEGRATION APPROXIMATIVE DES EQUATIONS DIFFERENTIELLES ORDINAIRES DU PREMIER ORDRE ; CONFERENCE DONNEE LE 4 DECEMBRE 1919) -- EDITION ORIGINALE‎

‎Petrograde, 1920, un volume in 8, broché couverture imprimée, 20pp.‎

‎---- EDITION ORIGINALE ---- RARE ---- "This Russian mathematician and physicist graduated from the University of Moscow, later teaching mathematics there on the recommendation of Zukovsky. Interested in classical mechanics, especially the mechanics of liquids and gases, Chaplygin continued the work of St. Venant on jet streams and contributed to aerodynamics through his studies of wing cross section. Chaplygin's works also enriched mathematics : his studies of methods of approximation for solving differential equations are achievements of mathematical thought". (DSB III pp. 194/197 et Bibliotheca Mechanica p. 69) - (N° 20)**1161/cart‎

‎Méthodes numériques. Analyse, algèbre, équations différentielles ordinaires. Traduit par Irina Petrova.‎

‎ 1976 Moscou, Editions Mir, 1976, in 8° relié pleine toile noire de l'éditeur, jaquette (avec petits défauts), 606 pages. ‎

‎ ...................... Photos sur demande .......................... ‎