sturm-liouville operator
Spectral analysis of the matrix Sturm–Liouville operator
... matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is ...the Sturm–Liouville operators on a star-shaped graph with two different types of ...
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Inverse eigenvalue problems for a discontinuous Sturm-Liouville operator with two discontinuities
... classical Sturm-Liouville operator was studied first by Ambar- sumian in [] and then by Borg in ...for Sturm-Liouville operator have been extended to so many different ...
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Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential
... In some recent interesting works [, ], Hald and McLaughlin and Browne and Slee- man have taken a new approach to inverse spectral theory for the Sturm-Liouville prob- lem. The novelty of these works ...
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An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line
... matrix Sturm-Liouville operator on the half-line, Agranovich and Marchenko [] have made an extensive research on the inverse scattering problem, using the trans- formation operator method [, ...
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Inverse Spectral Theory for a Singular Sturm Liouville Operator with Coulomb Potential
... for Sturm-Liouville operators with Coulomb potential, which have discontinuity conditions inside a finite ...the Sturm-Liouville operators with Coulomb potential ...singular ...
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Inverse spectral problem for Sturm Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition
... Discontinuous inverse problems appear in electronics for constructing parameters of heterogeneous electronic lines with desirable technical characteristics and in geophysi- cal models for oscillations of the earth (see ...
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Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
... the Sturm-Liouville operator with spectral pa- rameter, contained in the boundary conditions, have been investigated, and the unique- ness of the solution of these problems has been shown in ...
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Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator
... In this work a Sturm-Liouville operator with piecewise continuous coefficient and spectral parameter in the boundary conditions is considered. The eigenvalue problem is investigated; it is shown that ...
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Inverse Nodal Problems for the Sturm Liouville Operator with Some Nonlocal Integral Conditions
... In this paper, we study three inverse nodal problems for the Sturm-Liouville operator with different nonlocal integral conditions. We get the conclusion that the potential function can be determined ...
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On Summability of Spectral Expansions Corresponding to the Sturm Liouville Operator
... the Sturm-Liouville operator with general boundary conditions,” Doklady Akademii Nauk, ...the Sturm-Liouville operator with general boundary conditions,” Functional Analysis and ...
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Fractional singular Sturm Liouville operator for Coulomb potential
... fractional Sturm-Liouville oper- ator, introduced a regular fractional Sturm-Liouville problem and investigated the proper- ties of eigenfunctions and eigenvalues of the ...fractional ...
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Spectral properties of an impulsive Sturm–Liouville operator
... In this work, we are concerned with the impulsive Sturm–Liouville operator on the semi axis. The density function ρ and impulsive condition make the spectral analysis of op- erator quite difficult, but ...
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On a Boundary Value Problem for a Polynomial Pencil of the Sturm Liouville Equation with Spectral Parameter in Boundary Conditions
... The boundary value problem with a spectral parameter in the boundary conditions for a polynomial pencil of the Sturm-Liouville operator is investigated. Using the properties of the transformation ...
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Inverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions
... self-adjoint Sturm–Liouville operator −D 2 + q with eigen- parameter dependent boundary and discontinuity conditions inside a finite closed ...
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Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions
... are many papers concerning problems with discontinuous conditions. One can find the similar works for discontinuous conditions in [4, 12, 17, 18, 32, 34–36, 38]. The similar works for Hochstadt’s result in [6, 20, 21, ...
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Asymptotic Behavior of Eigenvalue and Eigenfunction of a Six Order Boundary Value Problem
... the Sturm-Liouville operator generated by the separate boundary condition (Aigunov, 1996) and many researchers have found asymptotic formula for the Sturm-Liouville operator’s ...
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On an Inverse Problem for Sturm-Liouville Equation
... for Sturm-Liouville operator with discontinuous coefficient is proved and the algorithm of reconstruction of potential from spectral data (eigenvalues and normalizing numbers) is ...
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The inverse scattering problem of some Schrödinger type equation with turning point
... The main results on inverse spectral problems appeared in the second half of the th century. We mention here the works by R Beals, G Borg, LD Faddeev, MG Gasymov, IM Gelfand, BM Levitan, N Levinson, VA Marchenko, and ...
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Sturm-Liouville theory
... continuous function on [0,C] can be expressed as a series in terms ofthe eigenfunctions.. In.[r] ...
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Sturm-Liouville problem with moving discontinuity points
... The Sturm-Liouville theory plays an important role in solving many mathematical physics problems ...related Sturm-Liouville problem in which the separation constant plays the role of a ...
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