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Funktsional. Anal. i Prilozhen., 1972, Volume 6, Issue 3, Pages 30–37 (Mi faa2513)  

This article is cited in 12 scientific papers (total in 12 papers)

Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem

Yu. S. Ilyashenko


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English version:
Functional Analysis and Its Applications, 1972, 6:3, 197–202

Bibliographic databases:

Received: 11.11.1971

Citation: Yu. S. Ilyashenko, “Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem”, Funktsional. Anal. i Prilozhen., 6:3 (1972), 30–37; Funct. Anal. Appl., 6:3 (1972), 197–202

Citation in format AMSBIB
\Bibitem{Ily72}
\by Yu.~S.~Ilyashenko
\paper Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem
\jour Funktsional. Anal. i Prilozhen.
\yr 1972
\vol 6
\issue 3
\pages 30--37
\mathnet{http://mi.mathnet.ru/faa2513}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=315200}
\zmath{https://zbmath.org/?q=an:0267.34025}
\transl
\jour Funct. Anal. Appl.
\yr 1972
\vol 6
\issue 3
\pages 197--202
\crossref{https://doi.org/10.1007/BF01077875}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. I. Arnol'd, “Lectures on bifurcations in versal families”, Russian Math. Surveys, 27:5 (1972), 54–123  mathnet  crossref  mathscinet  zmath
    2. Yu. S. Il'yashenko, “Analytic unsolvability of the stability problem and the problem of topological classification of the singular points of analytic systems of differential equations”, Math. USSR-Sb., 28:2 (1976), 140–152  mathnet  crossref  mathscinet  zmath  isi
    3. Yu. S. Ilyashenko, “Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations”, Russian Math. Surveys, 40:6 (1985), 1–49  mathnet  crossref  mathscinet  adsnasa
    4. N. P. Krushina, N. B. Medvedeva, “Analiticheskaya razreshimost problemy ustoichivosti v nekotorykh klassakh monodromnykh rostkov”, Vestnik ChelGU, 1999, no. 4, 102–115  mathnet
    5. Ilyashenko, Y, “Centennial history of Hilbert's 16th problem”, Bulletin of the American Mathematical Society, 39:3 (2002), 301  crossref  isi
    6. N. B. Medvedeva, “Problema razlicheniya tsentra i fokusa v klasse rostkov s dvumya rebrami diagrammy Nyutona”, Vestnik ChelGU, 2003, no. 9, 86–110  mathnet
    7. V. P. Varin, “Poincaré map for some polynomial systems of differential equations”, Sb. Math., 195:7 (2004), 917–934  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. Dumortier F.R., De Maesschalck P., “Topics on singularities and bifurcations of vector fields”, Normal Forms, Bifurcations and Finiteness Problems in Differential Equations, Nato Science Series, Series II: Mathematics, Physics and Chemistry, 137, 2004, 33–86  isi
    9. M. Briskin, Y. Yomdin, “Tangential version of Hilbert 16th problem for the Abel equation”, Mosc. Math. J., 5:1 (2005), 23–53  mathnet  crossref  mathscinet  zmath
    10. N. B. Medvedeva, “On the Analytic Solvability of the Problem of Distinguishing between Center and Focus”, Proc. Steklov Inst. Math., 254 (2006), 7–93  mathnet  crossref  mathscinet  elib
    11. N. B. Medvedeva, “On analytic insolubility of the stability problem on the plane”, Russian Math. Surveys, 68:5 (2013), 923–949  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    12. N. B. Medvedeva, V. A. Viktorova, “Granitsa ustoichivosti v odnom prostom klasse monodromnykh rostkov”, Chelyab. fiz.-matem. zhurn., 4:3 (2019), 276–284  mathnet  crossref
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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