On convergence of generalized power series that is the formal solution of algebraic ODE in general case
Abstract:
In this preprint we study some properties of generalized power series that are formal solutions of algebraic ordinary differential equations. Particularly we study the structure of the set of the power exponents of these series and propose a proof of theorem on sufficient condition of their convergence.
Keywords:
convergence, algebraic ODEs, formal solutions, analytic theory of ODEs
Publication language:russian, pages:14
Research direction:
Mathematical problems and theory of numerical methods
