Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail: Keywords: Painleve equations, formal solutions of ODEs, convergence of formal solutions, asymptotical properties of formal solutions, Maillet theorem
Subject:
Formal solutions of the sixth Painleve equation, convergence of formal solutions of ODE, Malgrange theorem, Maillet theorem
Main publications:
R. R. Gontsov, I. V. Goryuchkina, “Convergence of generalized power series solutions of functional equations”, Russian Math. Surveys, 80:3 (2025), 367–425
R. R. Gontsov, I. V. Goryuchkina, “Convergence of formal Dulac series satisfying an algebraic ordinary differential equation”, Sb. Math., 210:9 (2019), 1207–1221
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
Gontsov R.R., Goryuchkina I.V., “On the convergence of generalized power series satisfying an algebraic ODE”, Asympt. Anal., 93:4 (2015), 311-323
Goryuchkina I.V., “Tochnoe reshenie shestogo uravneniya Penleve i ekzoticheskaya asimptotika”, Doklady AN, 450:4 (2013), 381-383
