First-level formal solutions and multisummability

DOI10.1007/BF02254639zbMath0944.34074OpenAlexW2086762144MaRDI QIDQ1972687

Werner Balser

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02254639

zbMATH Keywords

multisummabilitylinear systems of ODEsfirst-level formal solutions

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Asymptotic representations in the complex plane (30E15)

Cites Work

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• Characterization of first level formal solutions by means of the growth of their coefficients
• Multisummability and Stokes multipliers of linear meromorphic differential equations
• A constructive existence proof for first level formal solutions of meromorphic differential equations
• Growth estimates for the coefficients of generalized formal solutions, and representation of solutions using Laplace integrals and factorial series
• Multisummability of formal power series solutions of nonlinear meromorphic differential equations
• From divergent power series to analytic functions. Theory and application of multisummable power series
• Integration linearer Differentialgleichungen durch Laplacesche Integrale. I, II
• Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
• Addendum to my paper: A DIFFERENT CHARACTERIZATION OF MULTI-SUMMABLE POWER SERIES
• Summation of Formal Power Series Through Iterated Laplace Integrals.
• Laplace Integrals and Factorial Series in the Theory of Linear Differential and Linear Difference Equations

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