Loading [MathJax]/jax/output/SVG/config.js
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1961, Volume 25, Issue 1, Pages 21–86 (Mi im3366)  

This article is cited in 59 scientific papers (total in 61 papers)

Small denominators. I. Mapping the circle onto itself

V. I. Arnol'd
Received: 17.09.1959
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Arnol'd, “Small denominators. I. Mapping the circle onto itself”, Izv. Math., 25:1 (1961)
Citation in format AMSBIB
\Bibitem{Arn61}
\by V.~I.~Arnol'd
\paper Small denominators. I. Mapping the circle onto itself
\jour Izv. Math.
\yr 1961
\vol 25
\issue 1
\mathnet{http://mi.mathnet.ru/eng/im3366}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=140699}
\zmath{https://zbmath.org/?q=an:0152.41905}
Linking options:
  • https://www.mathnet.ru/eng/im3366
  • https://www.mathnet.ru/eng/im/v25/i1/p21
    Erratum
    This publication is cited in the following 61 articles:
    1. K. B. Sabitov, “The Dirichlet problem for inhomogeneous mixed-type equation with Lavrent'ev–Bitsadze operator”, Izv. Math., 88:4 (2024), 655–677  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. B. Yu. Irgashev, “On the Conditions for the Solvability of Boundary-Value Problems for Higher-Order Equations with Discontinuous Coefficients”, Math. Notes, 111:2 (2022), 217–229  mathnet  crossref  crossref  mathscinet  isi
    3. Utkir A. Safarov, “A note on the conjugacy between two critical circle maps”, Zhurn. SFU. Ser. Matem. i fiz., 14:3 (2021), 287–300  mathnet  crossref
    4. R. R. Mukhin, “Iz istorii ponyatiya strukturnoi ustoichivosti”, Chebyshevskii sb., 22:2 (2021), 417–436  mathnet  crossref
    5. A. A. Dzhalilov, Zh. Zh. Karimov, “Termodinamicheskii formalizm i pokazateli singulyarnosti invariantnoi mery otobrazhenii okruzhnosti s odnim izlomom”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 30:3 (2020), 343–366  mathnet  crossref
    6. Sabitova Yu., “The First Boundary Problem For a Mixed Type Equation With Characteristic Degeneracy With Discontinuous Frankl Condition”, Lobachevskii J. Math., 41:11, SI (2020), 2269–2281  crossref  isi
    7. S. N. Sidorov, “Inverse problems for a degenerate mixed parabolic-hyperbolic equation on finding time-depending factors in right hand sides”, Ufa Math. J., 11:1 (2019), 75–89  mathnet  crossref  isi
    8. Yu. K. Sabitova, “Zadacha Dirikhle dlya uravneniya smeshannogo tipa s kharakteristicheskim vyrozhdeniem”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 23:4 (2019), 622–645  mathnet  crossref
    9. K. B. Sabitov, R. M. Safina, “The first boundary-value problem for an equation of mixed type with a singular coefficient”, Izv. Math., 82:2 (2018), 318–350  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. Akhatkulov S., Noorani Mohd Salmi Md, “On the Singularity of the Conjugation Between Piecewise-Smooth Circle Homeomorphisms”, Bull. Malays. Math. Sci. Soc., 41:3 (2018), 1607–1622  crossref  isi
    11. Dzhalilov A., Jalilov A., Mayer D., “A Remark on Denjoy'S Inequality For Pl Circle Homeomorphisms With Two Break Points”, J. Math. Anal. Appl., 458:1 (2018), 508–520  crossref  isi
    12. Akhatkulov S., Noorani Mohd. Salmi Md., Akhadkulov H., “On the invariant measure of a piecewise-smooth circle homeomorphism of Zygmund class”, J. Nonlinear Sci. Appl., 10:1 (2017), 48–59  crossref  isi
    13. Konstantin Khanin, Saša Kocić, “On the smoothness of the conjugacy between circle maps with a break”, Proc. Steklov Inst. Math., 297 (2017), 200–207  mathnet  crossref  crossref  mathscinet  isi  elib
    14. Yu. K. Sabitova, “The Dirichlet problem for telegraph equation in a rectangular domain”, Russian Math. (Iz. VUZ), 61:12 (2017), 39–48  mathnet  crossref  isi
    15. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Sluchai Gessa–Appelrota i kvantovanie chisla vrascheniya”, Nelineinaya dinam., 13:3 (2017), 433–452  mathnet  crossref  mathscinet  elib
    16. K. B. Sabitov, “The Dirichlet Problem for Higher-Order Partial Differential Equations”, Math. Notes, 97:2 (2015), 255–267  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    17. Akhadkulov H., Noorani Mohd Salmi Md, “On Conjugations of P-Homeomorphisms”, Indag. Math.-New Ser., 26:1 (2015), 280–292  isi
    18. A. A. Gimaltdinova, “Zadacha Dirikhle dlya uravneniya smeshannogo tipa s dvumya liniyami perekhoda v pryamougolnoi oblasti”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 19:4 (2015), 634–649  mathnet  crossref  zmath  elib
    19. Dzhalilov A., Mayer D., Safarov U., “on the Conjugation of Piecewise Smooth Circle Homeomorphisms With a Finite Number of Break Points”, Nonlinearity, 28:7 (2015), 2441–2459  crossref  isi
    20. I. V. Volovich, V. Zh. Sakbaev, “Universal boundary value problem for equations of mathematical physics”, Proc. Steklov Inst. Math., 285 (2014), 56–80  mathnet  crossref  crossref  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая
    Statistics & downloads:
    Abstract page:3184
    Full-text PDF :1729
    First page:6
     
      Contact us:
    math-net2025_03@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025