Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
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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:

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

Recent publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow