Inverse problems for matrix Sturm-Liouville operators

DOI10.1134/S1061920806010110zbMath1122.34005MaRDI QIDQ871760

Vjacheslav Anatoljevich Yurko

Publication date: 26 March 2007

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

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) Inverse problems involving ordinary differential equations (34A55)

Related Items (9)

Unique determination of a system by a part of the monodromy matrix ⋮ Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval ⋮ Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem ⋮ Inverse spectral problems for functional-differential operators with involution ⋮ Inverse problem solution and spectral data characterization for the matrix Sturm-Liouville operator with singular potential ⋮ THE SPECTRUM OF QUADRATIC EIGENPARAMETER-DEPENDENT NON-SELFADJOINT MATRIX STURM-LIOUVILLE OPERATORS ⋮ Direct and inverse problems for the matrix Sturm-Liouville operator with general self-adjoint boundary conditions ⋮ Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains ⋮ Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator

Cites Work

• Method of spectral mappings in the inverse problem theory
• A necessary and sufficient condition for the existence of the spectral matrix of a differential system
• Borg-type theorems for matrix-valued Schrödinger operators
• An inverse problem for the matrix Schrödinger equation
• Some inverse spectral problems for vectorial Sturm-Liouville equations
• SOME PROBLEMS IN THE THEORY OF A STURM-LIOUVILLE EQUATION
• The Inverse Problem Associated with a Pair of Second-Order Differential Equations
• Two inverse eigenvalue problems for vectorial Sturm-Liouville equations
• On the M-function and Borg–Marchenko theorems for vector-valued Sturm–Liouville equations
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