Search and download archives of mathematical journals

 
 
  Table of contents for this issue | Next article
Moser, Jürgen
A rapidly convergent iteration method and non-linear differential equations = II. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Sér. 3, 20 no. 3 (1966), p. 499-535
Full text djvu | pdf | Reviews MR 206461 | 10 citations in Numdam
previous part

stable URL: http://www.numdam.org/item?id=ASNSP_1966_3_20_3_499_0

Bibliography

1 J. Schauder, Das Anfangsvertproblem einer quasi-linearen hyperbolischen Differentialgleichung zweiter Order in beliebige), Anzahl von unabhängigen Veränderlichen. Fund. Math. 24, 1935, pp. 213-246.  Zbl 0011.35202 |  JFM 61.0541.02
2 K.O. Friediuchs, Sytmmetric Hyperbolic Linear Differential Equations. Comm. Pure Appl. Math. 7, 1954, pp. 345-392.  MR 62932 |  Zbl 0059.08902
3 I. Nash, The Imbedding of Riemannian Manifolds, Ann. Math. 63, 1956, pp. 20-63.  Zbl 0070.38603
4 J. Schwartz, On Nash' s Implicit Function Theorem, Comm. Pure Appl. Math 13, 1960, pp. 509-530.  MR 114144 |  Zbl 0178.51002
4' J. Moser, 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 132859 |  Zbl 0104.30503
4" J. Moser, 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 147741 |  Zbl 0107.29301
5 G.L. Siegel, Iteration of Analytic Functions. Ann. of Math. 43, 1942, pp. 647-612.  MR 7044 |  Zbl 0061.14904
5' C.L. Siegel, Über die Normalform Analytischer Differentialgleichungen in der Nähe einer Gleich-gewichtslösung, Nachr. Akad. Wiss., Göttingen, Math. Phys.K1, IIa, 1952, pp. 21-30.  MR 57407 |  Zbl 0047.32901
6 A.N. Kolmogorov, Doklad. Akad., Nauk USSR 98, 1954, pp. 527-530.  MR 68687 |  Zbl 0056.31502
7 A.N. Kolmogorov, 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 0095.17103
8 V.I. Arnold, @@ Small divisors » I, On mappings of a circle onto itself, Isvest. Akad. Nauk, ser. mat., 25, No. 1, 1961, pp. 21-76.  MR 140699
9 V.I. Arnold, Small Divisor and Stability Problemis in Classicat and Celestial Mechanics. Uspekhi Mat. Nauk USSR, Vol. 18, Ser. 6 (119), 1963, pp. 81-192.  MR 170705
10 V.I. Arnold, 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 163025 |  Zbl 0129.16606
11 K.O. Friedrighs, Symmetric Positive Linear Differential Equations, Comm. Pure Appl. Math. 11, 1958, pp. 333-418.  MR 100718 |  Zbl 0083.31802
12 N.N. Bogolioubov, and Y.A. Mitropolski, The Method of Intergral Manifolds in Nonlinear Mechanics, Contrib. to Differential Equations, Vol. II, 1963, pp. 123-196.  Zbl 0137.28406
13 S.P. Diliberto, 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 142853 |  Zbl 0109.31401
13' S.P. Diliberto, Perturbation Theory of Invariant Surfaces I-IV. Mimeographed ONR Reports, Berkeley, 1956/57.
14 Kyner, W.T., Invariant manifolds, Rend. del Circolo Matematico Palermo, Ser. II, Vol. 9, 1961, pp. 98-110.  MR 149038 |  Zbl 0104.06303
14' J.K. Hale, Integral Manifolds of Perturbed Differential Systems, Annals of Math., 78. 1961, pp. 496-531.  MR 123786 |  Zbl 0163.32804
15 I. Kupka, 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 162036 |  Zbl 0117.05403
16 L. Nirenberg, On elliptic partial differential equations. Ann. Scuola Norm. Sup. Pisa, Ser. 3, 13 (1959), pp. 116-162.
Numdam |  MR 109940 |  Zbl 0088.07601
17 Gagliardo, E., Ulteriori proprieta di alcune classi di funzioni in più variabili, Ricerche Mat, 8, 1959, pp. 24-51.  MR 109295 |  Zbl 0199.44701
18 J.J. Kohn and L. Nirenberg, Non-coercive boundary value problems to appear in Comm. Pure Appl. Math. (See under « elliptic regularization »).  MR 181815 |  Zbl 0125.33302
19 W.T. Kyner, 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 81472 |  Zbl 0073.33501
20 W.T. Kyner, Small Periodic Perturbations of an Autonomous System of Vector- Equations. Contributions to the Theory of Nonlinear Oscillations, Vol. 4, Princeton, 1958.  MR 101946
21 R. Sacker, 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 C.L. Siegel, Verlesungen über Himmelsmechanik, Springer, 1956.  MR 80009
23 H. Cremer, Über die Hänfigkeit der Niehtzentren, Math. Ann. 115, pp. 607-612, 1942.  Zbl 0018.36802 |  JFM 64.0289.02
24, N. Levinson, Transformation of an analytic function of several zariables to a canonical form. Duke Math. Journal 28, 1961, pp. 345-353. (See Theorem 2).
Article |  MR 145101 |  Zbl 0100.29002
25 N.I. Achieser, Vorlisungen iiber Approximationstheorie, Akd, Verlag. Berlin 1953, translated from Russian, Chapter V.  MR 61692 |  Zbl 0052.29002
Copyright Cellule MathDoc 2014 | Credit | Site Map