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 Total publications: 28 (28) in MathSciNet: 4 (4) in zbMATH: 2 (2) in Web of Science: 2 (2) in Scopus: 2 (2) Cited articles: 10 Citations in Math-Net.Ru: 11 Citations in Web of Science: 1 Citations in Scopus: 1 Presentations: 3

 Number of views: This page: 512 Abstract pages: 1938 Full texts: 880 References: 175
Senior Researcher
Candidate of physico-mathematical sciences (2006)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:

Main publications:
1. Bruno A.D. Goryuchkina I.V., “Asymptotic expansions of the solutions of the sixth Painleve equation”, Trans. Moscow Math. Soc., 2010, 1-104
2. Gontsov R.R., Goryuchkina I.V., “On the convergence of generalized power series satisfying an algebraic ODE”, Asympt. Anal., 93:4 (2015), 311-325

http://www.mathnet.ru/eng/person79597
List of publications on Google Scholar
List of publications on ZentralBlatt

Full list of publications:
 | scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |

 2019 1. R. R. Gontsov, I. V. Goryuchkina, “Convergence of formal Dulac series satisfying an algebraic ordinary differential equation”, Sb. Math., 210:9 (2019), 1207–1221                 (cited: 1) 2016 2. Gontsov R., Goryuchkina I., “An analytic proof of the Malgrange theorem on the convergence of formal solutions of an ODE”, J. Dynam. Control Syst., 22:1 (2016), 91-100         (cited: 1) 3. I. V. Goryuchkina, “Classes of finite order formal solutions of an ordinary differential equation”, Chebyshevskii Sb., 17:2 (2016), 64–87 2015 4. Gontsov R.R., Goryuchkina I.V., “On the convergence of generalized power series satisfying an algebraic ODE”, Asympt. Anal., 93:4 (2015), 311-323 5. I. V. Goryuchkina, “Classes of formal solutions of algebraic ODEs calculating by means of the methods of plane power geometry”, Keldysh Institute preprints, 2015 2014 6. I. V. Goryuchkina, “On convergence of generalized power series that is a formal solution of algebraic ODE in the general case”, Keldysh Institute preprints, 2014 7. I. V. Goryuchkina, “On convergence of generalized power series that is the formal solution of algebraic ODE”, Keldysh Institute preprints, 2014 2013 8. Goryuchkina I.V., “Tochnoe reshenie shestogo uravneniya Penleve i ekzoticheskaya asimptotika”, Doklady AN, 450:4 (2013), 381-383 9. I. V. Goryuchkina, “On convergence of power series solution with nonrational power exponents of algebraic ODE”, Keldysh Institute preprints, 2013 10. A. D. Bruno, I. V. Goryuchkina, “Convergence of power expansions of solutions to an ODE”, Keldysh Institute preprints, 2013 2012 11. I. V. Goryuchkina, “On multiple and non-multiple solutions of algebraic ODEs”, Keldysh Institute preprints, 2012 2011 12. I. V. Goryuchkina, “The Picard solution of the sixth Painlevé equation and asymptotic forms found by Power Geometry.”, Keldysh Institute preprints, 2011 13. I. V. Goryuchkina, “Theorem on convergence of a formal solution of ODE”, Keldysh Institute preprints, 2011 2010 14. Bryuno A.D., Goryuchkina I.V., “Asimptoticheskie razlozheniya reshenii shestogo uravneniya Penleve”, Trudy MMO, 71 (2010), 6-118 15. I. V. Goryuchkina, “Three-dimensional analysis of asymptotic forms of the solutions to the sixth Painlevé equation.”, Keldysh Institute preprints, 2010 2009 16. A. D. Bruno, I. V. Goryuchkina, “Elliptic asymptotic forms of solutions to the Painlev'e equations”, Keldysh Institute preprints, 2009 17. A. D. Bruno, I. V. Goryuchkina, “Non-formal solutions to ODE”, Keldysh Institute preprints, 2009 2008 18. A. D. Bruno, I. V. Goryuchkina, “All expansions of solutions to the sixth Painlevé equation near its nonsingular point”, Keldysh Institute preprints, 2008 2007 19. A. D. Bruno, I. V. Goryuchkina, “All asymptotic expansions of solutions to the equation P6 are obtained from base ones”, Keldysh Institute preprints, 2007 20. A. D. Bruno, I. V. Goryuchkina, “All asymptotic expansions of solutions to the equation P6 in the case $a\cdot b=0$”, Keldysh Institute preprints, 2007 21. A. D. Bruno, I. V. Goryuchkina, “All base asymptotic expansions of solutions to the equation P6 in the case $a\cdot b\ne0$”, Keldysh Institute preprints, 2007 22. A. D. Bruno, I. V. Goryuchkina, “Methods are used for researching of asymptotic expansions of solutions to the equation P6”, Keldysh Institute preprints, 2007 23. A. D. Bruno, I. V. Goryuchkina, “Review of all asymptotic expansions of solutions to the equation P6”, Keldysh Institute preprints, 2007 24. A. D. Bruno, I. V. Goryuchkina, “All asymptotic expansions of solutions to the sixth Painlevé equation”, Keldysh Institute preprints, 2007 25. I. V. Goryuchkina, “Exotic expansions of solutions to the sixth Painlevé equation”, Keldysh Institute preprints, 2007 2006 26. A. D. Bruno, I. V. Goryuchkina, “Expansions of solutions to the sixth Painlevé equation near singular points $x=0$ è $x=\infty$”, Keldysh Institute preprints, 2006 27. A. D. Bruno, I. V. Goryuchkina, “Expansions of solutions to the sixth painleve equation in cases $a=0$ and $b=0$”, Keldysh Institute preprints, 2006 2005 28. A. D. Bruno, I. V. Goryuchkina, “Power expansions of solutions to the sixth Painlevé equation near a regular point”, Keldysh Institute preprints, 2005

Presentations in Math-Net.Ru
 1 Ìíîãîóãîëüíèê Ïåòðîâè÷à è åãî ïðèìåíåíèå ê èçó÷åíèþ ðåøåíèé àëãåáðàè÷åñêèõ ÎÄÓI. V. Goryuchkina Seminar on analytic theory of differential equationsOctober 9, 2019 14:45 2 On the convergence of various formal series solutions of algebraic ODEsI. V. Goryuchkina Dynamics in Siberia - 2019February 25, 2019 16:20 3 On the convergence of a generalized power series satisfying an ODEI. V. Goryuchkina Seminar on analytic theory of differential equationsApril 29, 2015 14:00

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