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20172024
most citedSmall divisors in the problem of the convergence of generalized power series solutions of -difference equations

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math.CA2018

On the convergence of an exotic formal series solution of an ODE

Renat Gontsov, Irina Goryuchkina

A sufficient condition of the convergence of an exotic formal series (a kind of power series with complex exponents) solution to an ODE of a general form is proposed.

math.CA2018

A note on the convergence of multivariate formal power series solutions of meromorphic Pfaffian systems

Renat Gontsov, Irina Goryuchkina

Here we present some compliments to theorems of Gerard and Sibuya, on the convergence of multivariate formal power series solutions of nonlinear meromorphic Pfaffian systems. Their…