On the central connection problem for equations with an irregular singular point of a single level

DOI10.1007/BF02471760zbMath0943.34081OpenAlexW2121937941MaRDI QIDQ1972739

Werner Balser

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02471760

zbMATH Keywords

linear systemssingularitiescentral connection problem

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Meromorphic differential equations
• Zusammenhänge zwischen konvergenten und asymptotischen Entwicklungen bei Lösungen linearer Differentialsysteme vom Range Eins
• A central connection problem for a normal system of linear differential equations
• A two point connection problem for general linear ordinary differential equations
• A two point connection problem
• From divergent power series to analytic functions. Theory and application of multisummable power series
• The asymptotic forms of the solutions of an ordinary linear matric differential equation in the complex domain
• A Connection Problem for a Regular and an Irregular Singular Point of Complex Ordinary Differential Equations
• Über das globale Verhalten der Normallösungen vonx′(t) = (B + t−1A)x(t) und zweier Arten von assoziierten Funktionen
• On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities. II
• Explicit Evaluation of the Stokes' Multipliers and Central Connection Coefficients for Certain Systems of Linear Differential Equations
• Calculating connection coefficients for Meromorphic differential equations
• On the asymptotic expansions of solutions of an nth order linear differential equation
• The asymptotic expansion of solutions of the differential equation u _iv +λ ₂ [(z ² + c ) u" + azu '+ bu =0 for large IzI]
• The Connection Problem for General Linear Ordinary Differential Equations at Two Regular Singular Points with Applications in the Theory of Special Functions
• On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities, I
• A Connection Problem for Second Order Linear Differential Equations with Two Irregular Singular Points
• An Explicit Solution of the Central Connection Problem for an nth Order Linear Ordinary Differential Equation with Polynomial Coefficients
• On the Summability of Series by Borel's and Mittag-Leffler's Methods
• Connection problems for asymptotic series
• Corrections: Subseries of Monotone Divergent Series
• Ein Verfahren zur Lösung des Zusammenhangproblems bei linearen Differentialgleichungen zweiter Ordnung mit mehreren singulären Stellen