On an application of Crum–Krein transform to expansions in products of solutions of two Sturm–Liouville equations

DOI10.1063/1.532752zbMath0954.34017OpenAlexW2032776497MaRDI QIDQ4701913

E. Kh. Khristov

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532752

zbMATH Keywords

solutionsSturm-Liouville problemsCrum-Krein transform

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Cites Work

• Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I
• Closure of the squared Zakharov-Shabat eigenstates
• Applications of a commutation formula
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• The inverse Sturm–Liouville problem. II
• Crum-Krein transforms and Lambda -operators for radial Schrodinger equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• On the -operators associated with two Sturm-Liouville problems on the semi-axis
• Iterative solution of the inverse Sturm-Liouville problem
• ASSOCIATED STURM-LIOUVILLE SYSTEMS

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