Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities

DOI10.1007/S10958-024-06913-8OpenAlexW4390893481WikidataQ129864691 ScholiaQ129864691MaRDI QIDQ6186377

Vjacheslav Anatoljevich Yurko

Publication date: 2 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-024-06913-8

zbMATH Keywords

inverse spectral problemspectral characteristicsarbitrary-order ordinary differential operatornonintegrable regular singularity

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Cites Work

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• Higher-order differential equations having a singularity in an interior point
• On higher-order differential operators with a singular point
• Integral Transforms Connected with Higher-Order Differential Operators with A Singularity
• On higher-order differential operators with a regular singularity
• Asymptotics of Solutions of Some Integral Equations Connected with Differential Systems with a Singularity
• Integral transforms connected with differential systems with a singularity.
• Stokes Multipliers for Asymptotic Solutions of a Certain Differential Equation

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