Recent progress in the theory of formal solutions for ODE and PDE

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摘要

In this article we describe the theory of multisummability of formal power series and discuss its application to power series solutions of ordinary and partial differential equations. In particular, we give some new application to a singular perturbation of a regular singular point.

论文关键词:Borel summability,Multisummability,Gevrey order,Singular perturbation,Modified Nagumo norms

论文评审过程:Available online 31 December 2002.

论文官网地址:https://doi.org/10.1016/S0096-3003(02)00325-9