Results 171 to 180 of about 11,899 (198)

A directed set of Sturm–Liouville operators

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
SynopsisAsymptotic estimates for the eigenvalues and eigenfunctions of a directed set of Sturm–Liouville operators are obtained. Particular attention is paid to the influence of the diffusion coefficient, as it becomes arbitrarily large.
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Nonstandard Sturm-Liouville difference operator. II

1999
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Lyantse, V. E., Yavors'kyj, Yu. M.
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Invariant transformations for the Sturm-Liouville operator

Journal of Mathematical Sciences, 2006
The Sturm-Liouville operator is considered on a finite interval. For particular boundary conditions, a group of invariant transformations that preserve the operator spectrum is constructed. The influence of the group of transformations on the inverse problem is discussed.
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On recovering Sturm—Liouville operators on graphs

Mathematical Notes, 2006
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Sturm-Liouville operators with matrix potentials

Mathematical Notes of the Academy of Sciences of the USSR, 1974
The asymptotic distribution of eigenvalues of a Sturm-Liouville operator with a monotonic matrix potential is studied.
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Direct and Inverse Problems for the Matrix Sturm–Liouville Operator with General Self-Adjoint Boundary Conditions

Mathematical Notes, 2021
Natalia P Bondarenko
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Inverse problem solution and spectral data characterization for the matrix Sturm–Liouville operator with singular potential

Analysis and Mathematical Physics, 2021
Natalia P Bondarenko
exaly  

Sturm—Liouville Differential Operators with Singularities

1998
We study the inverse spectral problems for second-order differential equations on a finite interval having regular singularities inside the interval. Necessary and sufficient conditions for the solvability of these inverse problems and a procedure for the solution of these problems are given, and uniqueness theorems are proved.
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On General Properties of Eigenvalues and Eigenfunctions of a Sturm–Liouville Operator: Comments on “ISS With Respect to Boundary Disturbances for 1-D Parabolic PDEs”

IEEE Transactions on Automatic Control, 2017
Y V Orlov
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An interior inverse problem for the Sturm–Liouville operator with discontinuous conditions

Applied Mathematics Letters, 2009
Yang Chuan-Fu
exaly