On summability of formal solutions to a Cauchy problem and generalization of Mordell's theorem
type: Item
instance of: scholarly article
title: On summability of formal solutions to a Cauchy problem and generalization of Mordell's theorem
zbMATH Open document ID: 1198.35052
author: Shuang Zhou
author: Zhuangchu Luo
author: Changgui Zhang
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2010-09-06T00:00:00Z
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 5779460
zbMATH Keywords: singular initial condition
zbMATH Keywords: divergent formal solution
MaRDI profile type: Publication
full work available at URL: j.crma.2010.06.002
OpenAlex ID: W2084705287
cites work: Formal power series and linear systems of meromorphic ordinary differential equations
cites work: Multisummability for some classes of difference equations
cites work: On the summability of the formal solutions for some PDEs with irregular singularity
cites work: On the Borel summability of divergent solutions of the heat equation
cites work: Summability of divergent series
cites work: The definite integral \(\int_{-\infty}^\infty {e^{ax^2+bx}\over e^{cx+d}}dx\) and the analytic theory of numbers
cites work: Développements asymptotiques \(q\)-Gevrey et séries \(Gq\)-sommables. (\(q\)-Gevrey asymptotic expansions and \(Gq\)-summable series.)
cites work: Q4421466
DOI: 10.1016/J.CRMA.2010.06.002
Recommended article: Q4953935
Recommended article: Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations
Recommended article: Q5401235
Recommended article: Q3451878
Recommended article: A new proof of summability of formal solutions of nonlinear meromorphic differential equations
Recommended article: On the summability of formal solutions of linear partial differential equations
Recommended article: Summability of formal solutions for some generalized moment partial differential equations
Recommended article: Q5401230
Recommended article: Formal solutions of linear meromorphic differential systems and summability
Recommended article: On k-summability of formal solutions to the Cauchy problems for some linear q-difference-differential equations
description: scientific article; zbMATH DE number 5779460