[PDF] Top 20 Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator
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Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator
... the eigenparameter dependent Sturm-Liouville problems, ...the eigenparameter appears not only in the differential equation of the Sturm-Liouville problem but also in ... See full document
13
Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
... a Sturm-Liouville operator with a piece-wise continuous coefficient and a spectral parameter in boundary ...resolvent operator is ...the inverse problem with Weyl function ... See full document
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On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition
... and inverse scattering problem on the half-line 0, ∞ for the boundary value problem ...the inverse problem of scattering theory for 1.1 with boundary condition not ... See full document
17
Inverse eigenvalue problems for a discontinuous Sturm-Liouville operator with two discontinuities
... In this paper, we consider a discontinuous Sturm-Liouville operator with parameter-dependent boundary conditions and two interior discontinuities. We obtain eigenvalues and ... See full document
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On a uniqueness theorem of Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
... The inverse spectral problem for the Sturm–Liouville equation with boundary conditions dependent on the spectral parameter was studied in [1–7] ...three inverse spectral ... See full document
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Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions
... transformation operator for inverse Sturm-Liouville problem with parameter dependent boundary and discon- tinuous ... See full document
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Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation
... the inverse nodal problem is solved for p-Laplacian Schrödinger equation with energy-dependent potential function with the Dirichlet ...p-Laplacian Sturm-Liouville ...an inverse ... See full document
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Inverse spectral problem for Sturm Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition
... and boundary conditions. Sturm-Liouville problems with spectral parameter- dependent boundary conditions arise in studies of heat conduction problems and vibrat- ing string ...The ... See full document
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Inverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions
... The inverse spectral Sturm–Liouville problem can be regarded as three aspects, ...above problem using two sets of spectra, or one spectrum plus part of a set of value of ... See full document
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A discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter
... the Sturm–Liouville problem with eigenparameter dependent bound- ary conditions is of great importance for its wide applications in mechanics, mathemati- cal physics, and engineering ... See full document
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Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
... an inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the ... See full document
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Sturm-liouville boundary value problems and their properties
... the boundary conditions must be such as to eliminate the boundary terms that arise during the integration by parts used in deriving ...order problem this is true for separated boundary ... See full document
5
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 inverse spectral ...the Sturm–Liouville operators on a star-shaped ... See full document
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Approximation of eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions
... initial value problems computed at a few values of the eigenparameter, we have computed the eigenvalues of discontinu- ous Sturm-Liouville problems which contain an eigenparameter ... See full document
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Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential
... of problems allows us to find energy levels not only for a hydrogen atom but also for sin- gle valence electron atoms such as sodium. For hydrogen atom, the Coulomb potential is given by U = –e r , where r is the radius ... See full document
9
Existence and uniqueness of solutions for periodic-integrable boundary value problem of second order differential equation
... In this paper we deal with one kind of second order periodic-integrable boundary value problem. Using the lemma on bilinear form and Schauder’s fixed point theorem, we give the existence and ... See full document
9
On Summability of Spectral Expansions Corresponding to the Sturm Liouville Operator
... The spectral theory of two-point differential operators was begun by Birkhoff in his two papers 1, 2 of 1908 where he introduced regular boundary conditions for the first time. It was continued by Tamarkin 3, 4 and ... See full document
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Existence of solutions for fractional Sturm-Liouville boundary value problems with \(p(t)\)-Laplacian operator
... fractional Sturm-Liouville BVP with p(t)-Laplacian operator is dis- cussed in the article by using Mawhin’s continuation theorem, and the existence of so- lutions has been obtained (see Theorem ... See full document
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Inverse Spectral Theory for a Singular Sturm Liouville Operator with Coulomb Potential
... Let’s give some fundamental physical properties of the Sturm-Liouville operator with Coulomb potential. Learning about the motion of electrons moving under the Coulomb potential is of significance in ... See full document
9
An inverse three spectra problem for Sturm–Liouville operators
... and further describe the procedure of recovering the potential. The technique used to obtain our results is similar to those used in [17], where the inverse three spectral problem was considered by L(0, 1; ... See full document
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