Multisummability of formal solutions of singular perturbation problems

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Abstract

We investigate the summability of the unique formal power series solution of a singular perturbation problem for certain linear systems of ordinary meromorphic differential equations, using a new type of summability of power series in several (here: two) variables. © 2002 Elsevier Science (USA).

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Balser, W., & Mozo-Fernández, J. (2002). Multisummability of formal solutions of singular perturbation problems. Journal of Differential Equations, 183(2), 526–545. https://doi.org/10.1006/jdeq.2001.4143

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