Asymptotic existence theorem for formal solutions with singularities of nonlinear partial differential equations via multisummability-Reference-Cited by-同舟云学术

Asymptotic existence theorem for formal solutions with singularities of nonlinear partial differential equations via multisummability

Published:2022-10-21 Issue:-1 Volume:-1 Page:
ISSN:0025-5645
Container-title:Journal of the Mathematical Society of Japan
language:
Short-container-title:J. Math. Soc. Japan

Author:

TAHARA Hidetoshi¹

Affiliation:

1. Department of Information and Communication Sciences, Sophia University

Publisher

Mathematical Society of Japan (Project Euclid)

Subject

General Mathematics

Reference30 articles.

1. [1] D. B. Bacani and H. Tahara, Unique solvability of some nonlinear partial differential equations with Fuchsian and irregular singularities, J. Math. Soc. Japan, 66 (2014), 1017–1042.

2. [2] W. Balser, From Divergent Power Series to Analytic Functions. Theory and Application of Multisummable Power Series, Lecture Notes in Math., 1582, Springer-Verlag, Berlin, 1994.

3. [3] W. Balser, Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, Universitext, Springer-Verlag, New York, 2000.

4. [4] W. Balser, Multisummability of formal power series solutions of partial differential equations with constant coefficients, J. Differential Equations, 201 (2004), 63–74.

5. [5] W. Balser, Asymptotic existence theorems for formal power series whose coefficients satisfy certain partial differential recursions, J. Differential Equations, 209 (2005), 442–457.

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