A density theorem in parametrized differential Galois theory

DOI10.2140/PJM.2014.271.87zbMath1364.12004arXiv1203.2904OpenAlexW3102026983MaRDI QIDQ471290

Thomas Dreyfus

Publication date: 14 November 2014

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2904

zbMATH Keywords

inverse problemcomplete integrabilityStokes phenomenonisomonodromyparametrized differential Galois theory

Mathematics Subject Classification ID

Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (8)

On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters ⋮ Calculating Galois groups of third-order linear differential equations with parameters ⋮ New classes of parameterized differential Galois groups ⋮ Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation ⋮ DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS ⋮ Algebraic groups as difference Galois groups of linear differential equations ⋮ On the parameterized differential inverse Galois problem over \(k((t))(x)\) ⋮ Differential Galois theory and isomonodromic deformations

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