Resurgence-summability of ramified formal series depending of a parameter and solutions of linear differential equations
DOI10.5802/afst.1245zbMath1205.34122OpenAlexW2028143818MaRDI QIDQ1959938
Publication date: 12 October 2010
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_2010_6_19_2_303_0
Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Linear ordinary differential equations and systems in the complex domain (34M03)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Resurgent deformations for an ordinary differential equation of order 2
- First steps in ``calcul étrange
- Unfolding the quartic oscillator
- Resurgence in a Hamilton-Jacobi equation.
- On the reality of the eigenvalues for a class of \(\mathcal{PT}\)-symmetric oscillators
- Formal solutions of linear meromorphic differential systems and summability
- Summability of divergent series
- On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations
- Effective Borel-resummation by factorial series
- Spectral analysis of the complex cubic oscillator
- Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
- Théorèmes d’indices Gevrey pour les équations différentielles ordinaires
- Gevrey separation of fast and slow variables
- Generalized PT symmetry and real spectra
- 𝓟𝓣-symmetric quantum mechanics
- On the Stability under Convolution of Resurgent Functions
- Borel summation and splitting of separatrices for the Hénon map
- Rank reduction, normal forms and Stokes matrices
- On the formation of singularities of solutions of nonlinear differential systems in anti-Stokes directions.
This page was built for publication: Resurgence-summability of ramified formal series depending of a parameter and solutions of linear differential equations