R. R. Gontsov, I. V. Goryuchkina, “Convergence of formal Dulac series satisfying an algebraic ordinary differential equation”, Sb. Math., 210:9 (2019), 1207–1221
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
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
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 $x=0$ и $x=\infty$”, 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
2019
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