An existence result for the Shabat equation

DOI10.1007/S00010-002-8034-4zbMath1015.34077OpenAlexW2019013013MaRDI QIDQ1849455

Yunkang Liu

Publication date: 1 December 2002

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-002-8034-4

zbMATH Keywords

existenceanalytic solutionexistence and uniquenessanalytic solutionsShabat equation\(q\)-deformed Heisenberg-Weyl algebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (4)

Holomorphic solutions to pantograph type equations with neutral fixed points ⋮ On some nonlinear functional-differential equations of neutral type with linear deviations of the argument ⋮ Comparison theorems from the theory of monotone dynamical systems for linear systems of functional-differential equations with linearly transformed argument ⋮ Small divisors problem in dynamical systems and analytic solutions of the Shabat equation

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