Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations

DOI10.1016/0022-247X(79)90217-8zbMath0415.34008OpenAlexW2064934819MaRDI QIDQ599986

W. B. Jurkat, Werner Balser, Donald A. Lutz

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90217-8

zbMATH Keywords

invariants linear differential equations continuation of solutions Birkhoff invariants equivalent equations meromorphic differential equations irregular singular point Stokes' multipliers Stokes' phenomenon strict transformation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (54)

On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation* ⋮ Complex hyperkähler structures defined by Donaldson-Thomas invariants ⋮ The Stokes groupoids ⋮ Oscillation results for n-th order linear differential equations with meromorphic periodic coefficients ⋮ Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures ⋮ A Lie-theoretic description of the solution space of the $\mathrm{tt}^\ast$-Toda equations ⋮ Global mirrors and discrepant transformations for toric Deligne-Mumford stacks ⋮ Multi-resurgence and connection-to-Stokes formulæ for some linear meromorphic differential systems ⋮ Resurgence and highest level's connection-to-Stokes formulæ for some linear meromorphic differential systems ⋮ Local moduli of semisimple Frobenius coalescent structures ⋮ Stokes phenomenon and Yang-Baxter equations ⋮ An analogue of Dubrovin's conjecture ⋮ Topological computation of some Stokes phenomena on the affine line ⋮ On real forms of Dubrovin-Ugaglia Poisson brackets ⋮ Linear systems with nilpotent leading term. ⋮ On the integrability of Hamiltonian 1:2:2 resonance ⋮ On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation ⋮ Stokes phenomenon and reflection equations ⋮ Hamiltonian structure of rational isomonodromic deformation systems ⋮ The local Laplace transform of an elementary irregular meromorphic connection ⋮ A remark on first integrals of vector fields ⋮ Stokes phenomena, Poisson-Lie groups and quantum groups ⋮ Riemann–Hilbert–Birkhoff inverse problem for semisimple flat F$F$‐manifolds and convergence of oriented associativity potentials ⋮ The Stokes phenomenon for an irregular Gelfand-Kapranov-Zelevinsky system associated with a rank one lattice ⋮ Geometry and braiding of Stokes data; fission and wild character varieties ⋮ The monodromy of meromorphic projective structures ⋮ Transfer of connection problems for meromorphic differential equations of rank $r\geq 2$ and representations of solutions ⋮ Monodromy preserving deformation of linear differential equations with irregular singular points ⋮ Unnamed Item ⋮ The problem of connection of fundamental families of solutions for a system of linear differential equations with polynomial coefficients ⋮ Flat meromorphic connections of Frobenius manifolds with tt$^*$-structure ⋮ Stability conditions and Stokes factors ⋮ Riemann-Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: Irregular singularity ⋮ The Stokes Structure of a good meromorphic flat bundle ⋮ Stokes matrices for the quantum cohomologies of a class of orbifold projective lines ⋮ The geometry of dual isomonodromic deformations ⋮ Meromorphic projective structures, grafting and the monodromy map ⋮ The singularity of Kontsevich's solution for $QH^{*}(\mathbb C P^{2})$ ⋮ Symplectic manifolds and isomonodromic deformations ⋮ Stokes phenomenon, Gelfand-Zeitlin systems and relative Ginzburg-Weinstein linearization ⋮ Quasi-Hamiltonian geometry of meromorphic connections ⋮ Notes on non-generic isomonodromy deformations ⋮ Stokes phenomena ⋮ Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities ⋮ Analytic classification of families of linear differential systems unfolding a resonant irregular singularity ⋮ Poisson varieties from Riemann surfaces ⋮ Isomonodromy aspects of the $tt^*$ equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics ⋮ A Riemann-Hilbert problem for uncoupled BPS structures ⋮ Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity ⋮ GAUGE THEORY AND WILD RAMIFICATION ⋮ Gamma integral structure for an invertible polynomial of chain type ⋮ On the adjacency quantization in an equation modeling the Josephson effect ⋮ Riemann-Hilbert-Birkhoff problem for integrable connections with irregular singular points ⋮ Multisummability and Stokes multipliers of linear meromorphic differential equations

Cites Work

This page was built for publication: Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations