Accelero-summation of the formal solutions of nonlinear difference equations
From MaRDI portal
Publication:538787
DOI10.5802/aif.2596zbMath1225.39005OpenAlexW2565020691MaRDI QIDQ538787
Publication date: 26 May 2011
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/219670
Additive difference equations (39A10) Power series, series of functions of several complex variables (32A05) Abel, Borel and power series methods (40G10) Difference equations in the complex domain (39A45)
Related Items (14)
Some notes on moment partial differential equations. Application to fractional functional equations ⋮ Strongly regular multi-level solutions of singularly perturbed linear partial differential equations ⋮ Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders ⋮ Gevrey asymptotics for logarithmic-type solutions to singularly perturbed problems with nonlocal nonlinearities ⋮ Multisummability of formal solutions for a family of generalized singularly perturbed moment differential equations ⋮ Asymptotic Analysis and Summability of Formal Power Series ⋮ On singularly perturbed small step size difference-differential nonlinear PDEs ⋮ Summability of formal solutions for some generalized moment partial differential equations ⋮ On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms ⋮ Unnamed Item ⋮ Summability of formal solutions for a family of generalized moment integro-differential equations ⋮ Summability in general Carleman ultraholomorphic classes ⋮ Strongly regular sequences and proximate orders ⋮ Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms
Cites Work
- Asymptotics of analytic difference equations
- Exact asymptotics of nonlinear difference equations with levels 1 and \(1^{ + }\)
- Multisummability of formal power series solutions of nonlinear meromorphic differential equations
- Cohesive functions and weak accelerations
- A new proof of summability of formal solutions of nonlinear meromorphic differential equations
- Summation of formal solutions of a class of linear difference equations
- Summability of divergent series
- Multisummability for some classes of difference equations
- Summabiiityof formal solutions of a class of nonlinear difference equations
- On the Gevrey order of formal solutions of nonlinear difference equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Accelero-summation of the formal solutions of nonlinear difference equations
