The 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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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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Fractional singular Sturm Liouville operator for Coulomb potential
... Abstract In this paper, we define a fractional singular Sturm-Liouville operator having Coulomb potential of type A x . Our main issue is to investigate the spectral properties for the ...
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On Summability of Spectral Expansions Corresponding to the Sturm Liouville Operator
... 31 A. S. Makin, “On the basis property of systems of root functions of regular boundary value problems for the Sturm-Liouville operator,” Differential Equations, vol. 42, no. 12, pp. 1717–1728, 2006 ...
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Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential
... the Sturm-Liouville operator with Coulomb potential using a new kind of spectral data that is known as nodal ...singular Sturm-Liouville ...
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An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line
... Abstract The matrix Sturm-Liouville operator with an integrable potential on the half-line is considered. The inverse spectral problem is studied, which consists in recovering of this operator ...
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Inverse eigenvalue problems for a discontinuous Sturm-Liouville operator with two discontinuities
... Abstract In this paper, we consider a discontinuous Sturm-Liouville operator with parameter-dependent boundary conditions and two interior discontinuities. We obtain eigenvalues and eigenfunctions ...
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Inverse Spectral Theory for a Singular Sturm Liouville Operator with Coulomb Potential
... This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/ Abstract We consider the inverse spectral problem for a singular ...
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Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator
... Abstract 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 ...
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Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
... Abstract This work aims to examine a Sturm-Liouville operator with a piece-wise continuous coefficient and a spectral parameter in boundary condition. The orthogonality of the eigenfunctions, realness ...
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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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Inverse spectral problem for Sturm Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition
... Abstract In this paper, the inverse scattering problem for the Sturm-Liouville operator with discontinuous coefficient and cubic polynomials of the spectral parameter in the boundary condition is ...
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On sharp asymptotic formulas for the Sturm-Liouville operator with a matrix potential
... Abstract—In this article we obtain the sharp asymptotic formulas for the eigenvalues and eigen- functions of the non-self-adjoint operators generated by a system of the Sturm–Liouville equations with ...
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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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Recovering Sturm-Liouville operators with a discontinuous weight function
... the operator from spectral data is a main research ...for Sturm-Liouville operators has been begun in 1929 and the results of these researches can be found in the monographs [5, 6, 11, 13, 14, 20, ...
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A new kind of uniqueness theorems for inverse Sturm-Liouville problems
... for Sturm-Liouville operators belongs to Ambarzumyan ...of Sturm- Liouville operator with Neumann boundary conditions are n , then the potential q is on [, ...of operator ...
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Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
... inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the boundary ...a ...
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Sturm Liouville BVP in Banach space
... Full list of author information is available at the end of the article Abstract We consider the existence of single and multiple positive solutions for fourth-order Sturm-Liouville boundary value problem in ...
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Existence of solutions for fractional Sturm-Liouville boundary value problems with \(p(t)\)-Laplacian operator
... p(t)-Laplacian operator; continuation theory 1 Introduction The last two decades have witnessed a wide application of fractional differential equations in various fields of natural science and engineering technology ...
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Sturm-Liouville problem with moving discontinuity points
... uous Sturm-Liouville problems, and to study the spectral properties of the ...of Sturm-Liouville theory to the new mov- ing discontinuous ...linear operator A in a suitable Hilbert ...
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