1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CA2020
From formal to actual Puiseux series solutions of algebraic differential equations of first order
Vladimir Dragovic, Renat Gontsov, Irina Goryuchkina
The existence, uniqueness and convergence of formal Puiseux series solutions of non-autonomous algebraic differential equations of first order at a nonsingular point of the equatio…
math.CA2019★ 1 cited
Polygons of Petrovic and Fine, algebraic ODEs, and contemporary mathematics
Vladimir Dragovic, Irina Goryuchkina
Here, we study the genesis and evolution of geometric ideas and techniques in investigations of movable singularities of algebraic ordinary differential equations. This leads us to…
math.CA2016
On properties of the coefficients of the complicated and exotic formal solutions of the sixth Painlevé equation
Irina Goryuchkina
It is known, that among the formal solutions of the sixth Painlevé equation there met series with integer power exponents of the independent variable with coefficients in form…