Multisummability of formal solutions for a family of generalized singularly perturbed moment partial differential equations
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/55158DOI: 10.1007/s00025-022-01828-9
ISSN: 1422-6383
Publisher
Springer
Date
2022-12-30Embargo end date
2023-12-29Funders
Agencia Estatal de Investigación
Universidad de Alcalá
Bibliographic citation
Lastra, A., Michalik, S. & Suwinska, M. 2023, “Multisummability of formal solutions for a family of generalized singularly perturbed moment differential equations”, Results in Mathematics, vol. 78, art. no. 49.
Keywords
Multisummability
Formal solution
Moment estimates
Moment derivatives
Moment differential equations
Singular perturbation
Project
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105621GB-I00/ES/METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS/
info:eu-repo/grantAgreement/UAH//CM-JIN-2019-010
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1007/s00025-022-01828-9Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2022 Springer
Access rights
info:eu-repo/semantics/openAccess
Abstract
The notion of moment differentiation is extended to the set of generalized multisums of formal power series via an appropriate integral representation and accurate estimates of the moment derivatives. The main result is applied to characterize generalized multisummability of the formal solution to a family of singularly perturbed moment differential equations in the complex domain, broadening widely the range of singularly perturbed functional equations to be considered in practice, such as singularly perturbed differential equations and singularly perturbed fractional differential equations.
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