Transseries for a class of nonlinear difference equations*

DOI10.1080/10236190108808298zbMath1001.39002OpenAlexW2091943111MaRDI QIDQ2775665

Boele L. J. Braaksma

Publication date: 27 May 2002

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190108808298

zbMATH Keywords

Laplace transformnormal formBorel summationtransseriesresurgenceexponential asymptoticsBorel transformsformal exponential series solutionsnonlinear analytic difference equationsStokes transition

Mathematics Subject Classification ID

Additive difference equations (39A10)

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Cites Work

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• Asymptotics of analytic difference equations
• Multisummability for some classes of difference equations
• Formal power series and linear systems of meromorphic ordinary differential equations
• On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations
• On optimal truncation of divergent series solutions of nonlinear differential systems
• On asymptotic solutions of systems of nonlinear difference equations.

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