From divergent power series to analytic functions. Theory and application of multisummable power series
The purpose of this book is to investigate the theory of multisummable power series and its applications to ordinary differential equations. The most important chapters among eight chapters are Chapter 6 and Chapter 8. In Chapter 6 the author gives the definition of multisummability and discusses its properties, the main decomposition result and some applications of Cauchy-Heine transforms. In Chapter 8 he studies formal solutions to nonlinear ordinary differential equations.
formal solutions to nonlinear ordinary differential equations
scientific article; zbMATH DE number 637034