Nonintegrability criteria for a class of differential equations with two regular singular points

DOI10.1088/0951-7715/16/4/306zbMath1051.37028OpenAlexW1992378405MaRDI QIDQ4437785

Rodica D. Costin, Martin D. Kruskal

Publication date: 3 December 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6b88524e9679c178dabd123e50a4ca6ff871ee46

zbMATH Keywords

nonintegrabilityfirst integralbranching of solutions

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (3)

Differential systems with Fuchsian linear part: correction and linearization, normal forms and multiple orthogonal polynomials ⋮ Jacobi series for general parameters via Hadamard finite part and application to nonhomogeneous hypergeometric equations ⋮ A class of matrix-valued polynomials generalizing Jacobi polynomials

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