Exact asymptotics of nonlinear difference equations with levels 1 and \(1^{ + }\)

DOI10.5802/afst.1185zbMath1160.39003OpenAlexW2010881277MaRDI QIDQ1000295

J. Martínez

Publication date: 5 February 2009

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2008_6_17_2_309_0

zbMATH Keywords

nonlinear difference equationsanalytic solutionsGevrey asymptoticsformal power series solutions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Approximation in the complex plane (30E10) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Functional equations for complex functions (39B32)

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Cites Work

• Asymptotics of analytic difference equations
• Cohesive functions and weak accelerations
• Summation of formal solutions of a class of linear difference equations
• Summabiiityof formal solutions of a class of nonlinear difference equations
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