@article{ASNSP_1966_3_20_3_499_0, author = {Moser, J\"urgen}, title = {A rapidly convergent iteration method and non-linear differential equations = {II}}, journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche}, pages = {499--535}, publisher = {Scuola normale superiore}, volume = {Ser. 3, 20}, number = {3}, year = {1966}, mrnumber = {206461}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1966_3_20_3_499_0/} }
TY - JOUR AU - Moser, Jürgen TI - A rapidly convergent iteration method and non-linear differential equations = II JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche PY - 1966 SP - 499 EP - 535 VL - 20 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1966_3_20_3_499_0/ LA - en ID - ASNSP_1966_3_20_3_499_0 ER -
%0 Journal Article %A Moser, Jürgen %T A rapidly convergent iteration method and non-linear differential equations = II %J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche %D 1966 %P 499-535 %V 20 %N 3 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1966_3_20_3_499_0/ %G en %F ASNSP_1966_3_20_3_499_0
Moser, Jürgen. A rapidly convergent iteration method and non-linear differential equations = II. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 20 (1966) no. 3, pp. 499-535. http://www.numdam.org/item/ASNSP_1966_3_20_3_499_0/
1 Das Anfangsvertproblem einer quasi-linearen hyperbolischen Differentialgleichung zweiter Order in beliebige), Anzahl von unabhängigen Veränderlichen. Fund. Math. 24, 1935, pp. 213-246. | JFM | Zbl
,2 Sytmmetric Hyperbolic Linear Differential Equations. Comm. Pure Appl. Math. 7, 1954, pp. 345-392. | MR | Zbl
,3 The Imbedding of Riemannian Manifolds, Ann. Math. 63, 1956, pp. 20-63. | Zbl
,4 On Nash' s Implicit Function Theorem, Comm. Pure Appl. Math 13, 1960, pp. 509-530. | MR | Zbl
,4' A. New Technique for the Construction of Solutions of Nonlinear Differential Equations. Proc. Nat. Acad. Sciences, Vol. 47, No. 11, pp. 1824-1831, 1961. | MR | Zbl
,4" On Invariant Curves of Area-Preserving Mappings of an Annulus. Nachr. Akad. Wiss. Göttingen Math. Phys. K1. IIa, No. 1, 1962, pp. 1-20. | MR | Zbl
,5 Iteration of Analytic Functions. Ann. of Math. 43, 1942, pp. 647-612. | MR | Zbl
,5' Über die Normalform Analytischer Differentialgleichungen in der Nähe einer Gleich-gewichtslösung, Nachr. Akad. Wiss., Göttingen, Math. Phys.K1, IIa, 1952, pp. 21-30. | MR | Zbl
,6 Doklad. Akad., Nauk USSR 98, 1954, pp. 527-530. | MR | Zbl
,7 General Theory of Dynamical Systeans and Classical Mechanics. Proc. of Intl. Congress of Math., Amsterdam, 1954, (Amsterdam: Erven P. Nordhoff, 1957), Vol. 1, pp. 315-333. | Zbl
,8 @@ Small divisors » I, On mappings of a circle onto itself, Isvest. Akad. Nauk, ser. mat., 25, No. 1, 1961, pp. 21-76. | MR
,9 Small Divisor and Stability Problemis in Classicat and Celestial Mechanics. Uspekhi Mat. Nauk USSR, Vol. 18, Ser. 6 (119), 1963, pp. 81-192. | MR
,10 Proof of A. N. Kolmogorov's Theorem on the Preservation of Quasi-Periodic Motions under Small Perturbation of the Hamiltonian, Uspekhi Mat. N. USSR, Vol. 18, Ser. 5 (113), 1963, pp. 13-40. | MR | Zbl
,11 Symmetric Positive Linear Differential Equations, Comm. Pure Appl. Math. 11, 1958, pp. 333-418. | MR | Zbl
,12 The Method of Intergral Manifolds in Nonlinear Mechanics, Contrib. to Differential Equations, Vol. II, 1963, pp. 123-196. | Zbl
, and ,13 Perturbation Theorems for Periodic Surfaces I, Rend. del Cire. Mat. Palermo (2), 9, 1961, pp. 265-299. II, Rend. del Circ. Mat. Palermo (2), 10, 1962, pp. 111 161. | MR | Zbl
,13' Perturbation Theory of Invariant Surfaces I-IV. Mimeographed ONR Reports, Berkeley, 1956/57.
,14 Invariant manifolds, Rend. del Circolo Matematico Palermo, Ser. II, Vol. 9, 1961, pp. 98-110. | MR | Zbl
,14' Integral Manifolds of Perturbed Differential Systems, Annals of Math., 78. 1961, pp. 496-531. | MR | Zbl
,15 Stabilité des varietés invariantes d'un champ de vecteurs pour les petites perturbations. Compt. Rend. Acad. Sc. Paris, 258, Group 1, 1964, pp. 4197-4200. | MR | Zbl
,16 On elliptic partial differential equations. Ann. Scuola Norm. Sup. Pisa, Ser. 3, 13 (1959), pp. 116-162. | Numdam | MR | Zbl
,17 Ulteriori proprieta di alcune classi di funzioni in più variabili, Ricerche Mat, 8, 1959, pp. 24-51. | MR | Zbl
,18 Non-coercive boundary value problems to appear in Comm. Pure Appl. Math. (See under « elliptic regularization »). | MR | Zbl
and ,19 A fixed point theorem. Contributions to the Theory on Vonlinear Oscillations, Vol. 3, Princeton University Press, Annals of Math. Studies 36, 1956, pp. 197-205. | MR | Zbl
,20 Small Periodic Perturbations of an Autonomous System of Vector- Equations. Contributions to the Theory of Nonlinear Oscillations, Vol. 4, Princeton, 1958. | MR
,21 On Invariant Surfaces and Bifurcation of Periodic Solutions of Ordinary Differential Equations, NYU Report, IMM-NYU 333, Oct. 1964, to be published in Comm. Pure Appl. Math.
,22 Verlesungen über Himmelsmechanik, Springer, 1956. | MR
,23 Über die Hänfigkeit der Niehtzentren, Math. Ann. 115, pp. 607-612, 1942. | JFM | Zbl
,24, Transformation of an analytic function of several zariables to a canonical form. Duke Math. Journal 28, 1961, pp. 345-353. (See Theorem 2). | MR | Zbl
,25 Vorlisungen iiber Approximationstheorie, Akd, Verlag. Berlin 1953, translated from Russian, Chapter V. | MR | Zbl
,