Formal power series solutions in a parameter

DOI10.1016/S0022-0396(02)00083-9zbMath1029.34079MaRDI QIDQ1811802

Yasutaka Sibuya

Publication date: 17 June 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

power seriesformal solutionsGevrey property

Mathematics Subject Classification ID

Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (5)

On formal Laurent series ⋮ Strongly regular multi-level solutions of singularly perturbed linear partial differential equations ⋮ Entire extensions and exponential decay for semilinear elliptic equations ⋮ Asymptotic existence theorems for formal power series whose coefficients satisfy certain partial differential recursions ⋮ Formal Gevrey theory for singular first order quasi-linear partial differential equations

Cites Work

• The Gevrey asymptotics in the case of singular perturbations
• On the solutions of analytic equations

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