A remark on small divisors problems

Hana Petzeltová; Pavla Vrbová

Czechoslovak Mathematical Journal (1978)

  • Volume: 28, Issue: 1, page 1-12
  • ISSN: 0011-4642

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Petzeltová, Hana, and Vrbová, Pavla. "A remark on small divisors problems." Czechoslovak Mathematical Journal 28.1 (1978): 1-12. <http://eudml.org/doc/13040>.

@article{Petzeltová1978,
author = {Petzeltová, Hana, Vrbová, Pavla},
journal = {Czechoslovak Mathematical Journal},
keywords = {method of nondiscrete mathematical induction},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A remark on small divisors problems},
url = {http://eudml.org/doc/13040},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Petzeltová, Hana
AU - Vrbová, Pavla
TI - A remark on small divisors problems
JO - Czechoslovak Mathematical Journal
PY - 1978
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 1
SP - 1
EP - 12
LA - eng
KW - method of nondiscrete mathematical induction
UR - http://eudml.org/doc/13040
ER -

References

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  1. B. И. Арнольд, Малые знаменатели и проблемы устойчивости движения в классической и небеской механике, УМН 18, вып. 6 (1963), 91 -192, (1963) Zbl1145.93303MR0170705
  2. И. H. Блинов, Об одном итерационном процессе Ньютона, Изв. АН, сер. мат. 33 (1969), 3-14. (1969) Zbl1149.62317MR0242344
  3. J. Moser, 10.1073/pnas.47.11.1824, Proc. Nat. Acad. Sci. 47 (1961), 1824-1831. (1961) Zbl0104.30503MR0132859DOI10.1073/pnas.47.11.1824
  4. V. Pták, Deux théorèmes de factorisation, Comptes Rendus Ac. Sci. Paris 278 (1974), 1091-1094. (1974) MR0341096
  5. V. Pták, 10.1007/BF01411490, Manuscripta Math. 13 (1974), 109-130. (1974) MR0348430DOI10.1007/BF01411490
  6. V. Pták, A quantitative refinement of the closed graph theorem, Czech. Math. Journal 99 (1974), 503-506. (1974) MR0348431
  7. V. Pták, Nondiscrete mathematical induction and iterative existence proofs, Linear Algebra and its Applications 13 (1976), 223 - 238. (1976) MR0394119
  8. V. Pták, A modification of Newton's method, Čas. pěst. mat. 101 (1976), 188-194. (1976) Zbl0328.46013MR0443326
  9. E. Zehnder, An implicit function theorem for small divisor problems, Bull. Amer. Math. Soc. 50(1974), 174-179. (1974) Zbl0281.35002MR0339259
  10. E. Zehnder, Generalized implicit function theorems with applications to some small divisor problems (preprint) 

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