Existence of analytic solutions to analytic nonlinear \(q\)-difference equations

DOI10.1016/j.jmaa.2010.09.035zbMath1207.39011OpenAlexW2025793949MaRDI QIDQ615904

Changgui Zhang, Xianyi Li

Publication date: 7 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.035

zbMATH Keywords

diffeomorphismanalytic solutionisomorphism\(q\)-difference equationrational difference equationsPoincaré domainanalytic nonlinear difference equationsNewton's polygon

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13)

Related Items (2)

On the convergence of generalized power series solutions of \(q\)-difference equations ⋮ Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon

Cites Work

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• On invariant manifolds of complex analytic mappings near fixed points
• On \(q\)- difference functional equations
• Analytic theory of linear \(q\)-difference equations
• Asymptotic expansion and summability of solutions of linear \(q\)-difference equations.
• Analytic Solutions of aq-Difference Equation and Applications to Iterative Equations^*

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