Inverse Sturm-Liouville problem
Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
... an inverse Sturm- Liouville problem in Section 2 by transforming it into an identification problem of a parabolic type PDE, and then discretizing the PDE into a system of ODEs at ...
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Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation
... the Sturm-Liouville ...the inverse Sturm- Liouville problem, one seeks to recover both q and constants by giving the eigenvalues with another piece of spectral ...
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A new kind of uniqueness theorems for inverse Sturm-Liouville problems
... are called norming constants. The eigenvalues and norming constants are called spectral data (besides these, there are other quantities, which are also called spectral data). The inverse ...
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Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions
... independent of x. By defining a new Hilbert space and using spectral data of a kind, it is developed the Hochestadt’s result based on transformation operator for inverse Sturm-Liouville ...
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On an Inverse Problem for Sturm-Liouville Equation
... Direct problem of spectral analysis for Sturm-Liouville problem is investigated prop- erties of eigenvalues and eigenfunctions, finding normalizing numbers, spectrum set of the boundary value ...
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Inverse spectral problem for Sturm Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition
... value problem ()-() is found by using a new integral representation for the solution of (), and its properties are ...value problem ()-() is ...
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Direct and inverse spectral problems for discrete Sturm Liouville problem with generalized function potential
... the inverse problem for difference equations which are constructed by the Sturm-Liouville equations with generalized function potential from the generalized spectral function ...
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Reconstruction of the Volterra-type integro-differential operator from nodal points
... the Sturm–Liouville problem by using the given nodal points in ...[3]. Inverse nodal prob- lems for different types of operators have been extensively well studied in several papers (see [4–14] ...
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The inverse scattering problem of some Schrödinger type equation with turning point
... sciences. Inverse prob- lems also play an important role in solving nonlinear evolution equations in mathematical ...the inverse problem theory is devel- oped intensively all over the ...in ...
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... The inverse spectral problem for the Sturm–Liouville equation with a piecewise- entire potential function and the discontinuity conditions for solutions on a rectifiable curve γ ⊂ C by the ...
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Spectral analysis of the matrix Sturm–Liouville operator
... of Sturm–Liouville operators have been derived. In [15–18], inverse spectral problems have been studied, which consist in a reconstruction of the matrix Sturm–Liouville oper- ators by ...
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On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition
... for the unknown function Kx, t. The integral equation is called the fundamental equation of the inverse problem of scattering theory for the boundary problem 1.1–1.3. The fundamental equation is ...
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... of inverse spectral problems for differential opera- tors on geometrical ...The inverse problem consists in recovering the potential from the given spectral ...The inverse problem for ...
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Inverse nodal problem for p-Laplacian with two potential functions
... typical inverse nodal problem, the operators are to be determined from the given nodes(zeros) of their ...of inverse problem. This kind of problem is called inverse nodal ...the ...
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Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential
... an inverse problem for 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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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 eigenfunctions together with ...
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... The inverse problem is solved, which consists in reconstruction of the convolution kernel and one of the polynomials in the boundary condition by using the eigenvalues and the two other ...the ...
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An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line
... nonlinear inverse problem is transformed to the linear equation in a Banach space of continuous matrix ...of Inverse problem ...scalar Sturm- Liouville operator (examples are ...
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Inverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions
... mathematics. Inverse spec- tral problem consists in recovering operators from their spectral charac- ...physical problem led to inverse problems such as iden- tifying the density of the ...
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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 prob- lems for ...
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