| Title:
|
A remark on small divisors problems (English) |
| Author:
|
Petzeltová, Hana |
| Author:
|
Vrbová, Pavla |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
28 |
| Issue:
|
1 |
| Year:
|
1978 |
| Pages:
|
1-12 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
58C15 |
| idZBL:
|
Zbl 0419.47029 |
| idMR:
|
MR0482803 |
| DOI:
|
10.21136/CMJ.1978.101509 |
| . |
| Date available:
|
2008-06-09T14:26:35Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101509 |
| . |
| Reference:
|
[1] B. И. Арнольд: Малые знаменатели и проблемы устойчивости движения в классической и небеской механике.УМН 18, вып. 6 (1963), 91 -192, Zbl 1145.93303, MR 0170705 |
| Reference:
|
[2] И. H. Блинов: Об одном итерационном процессе Ньютона.Изв. АН, сер. мат. 33 (1969), 3-14. Zbl 1149.62317, MR 0242344 |
| Reference:
|
[3] J. Moser: А new technique for the construction of solutions of nonlinear differential equations.Proc. Nat. Acad. Sci. 47 (1961), 1824-1831. Zbl 0104.30503, MR 0132859, 10.1073/pnas.47.11.1824 |
| Reference:
|
[4] V. Pták: Deux théorèmes de factorisation.Comptes Rendus Ac. Sci. Paris 278 (1974), 1091-1094. MR 0341096 |
| Reference:
|
[5] V. Pták: A theorem of the closed graph type.Manuscripta Math. 13 (1974), 109-130. MR 0348430, 10.1007/BF01411490 |
| Reference:
|
[6] V. Pták: A quantitative refinement of the closed graph theorem.Czech. Math. Journal 99 (1974), 503-506. MR 0348431 |
| Reference:
|
[7] V. Pták: Nondiscrete mathematical induction and iterative existence proofs.Linear Algebra and its Applications 13 (1976), 223 - 238. MR 0394119 |
| Reference:
|
[8] V. Pták: A modification of Newton's method.Čas. pěst. mat. 101 (1976), 188-194. Zbl 0328.46013, MR 0443326 |
| Reference:
|
[9] E. Zehnder: An implicit function theorem for small divisor problems.Bull. Amer. Math. Soc. 50(1974), 174-179. Zbl 0281.35002, MR 0339259 |
| Reference:
|
[10] E. Zehnder: Generalized implicit function theorems with applications to some small divisor problems (preprint). |
| . |
