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Galoisian approach for a Sturm-Liouville problem on the infinite interval

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Publication:351064
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DOI10.4310/MAA.2012.V19.N3.A3zbMath1273.34033arXiv1009.0979OpenAlexW2963741314MaRDI QIDQ351064

David Blázquez-Sanz, Kazuyuki Yagasaki

Publication date: 10 July 2013

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

Full work available at URL: https://arxiv.org/abs/1009.0979


zbMATH Keywords

integrabilitymonodromy groupSturm-Liouville problemdifferential Galois theory


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Stability in context of PDEs (35B35) Sturm-Liouville theory (34B24) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential algebra (12H05) Boundary eigenvalue problems for ordinary differential equations (34B09)


Related Items (3)

Integrability of the Zakharov-Shabat systems by quadrature ⋮ Picard-Vessiot theory and integrability ⋮ Liouvillian solutions for second order linear differential equations with polynomial coefficients







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