[PDF] Top 20 Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
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Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
... of boundary value problems with a spectral parameter, contained in the boundary ...and Sturm-Liouville problem with eigen-parameter in the boundary ... See full document
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Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator
... a Sturm-Liouville operator with piecewise continuous coefficient and spectral parameter in the boundary conditions is ...eigenvalue problem is investigated; it is shown that ... See full document
13
Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions
... the operator L have spectral parameter dependent bound- ary conditions and discontinuous conditions, we generalize the well-known result of Hochstadt ...the operator A by using its solutions ... See full document
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Inverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions
... tinuous boundary conditions naturally led to ODE with discontinuities inside of the interval which often appear in ...mathematics. Inverse spec- tral problem consists in recovering operators from ... See full document
13
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 ... See full document
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... of inverse problems for differential Sturm-Liouville pencils with boundary conditions, depending polynomially on the spectral parameter, leads to essential difficulties, ... See full document
9
Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient
... verse spectral problem for the Dirac operator was studied in [], and in this work, not only the Gelfand-Levitan-Marchenko method but also the Krein method [] was ...the inverse scattering ... See full document
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Asymptotic Behavior of Eigenvalue and Eigenfunction of a Six Order Boundary Value Problem
... the spectral properties of the Sturm-Liouville operator generated by the separate boundary condition (Aigunov, 1996) and many researchers have found asymptotic formula for the ... See full document
15
Spectral analysis of the matrix Sturm–Liouville operator
... matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is ...considered operator. These spectral characteristics play an important ... See full document
17
Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential
... of spectral analysis imply the reconstruction of a linear operator from some or other of its spectral ...different boundary conditions), normalizing constants, spectral functions, ... See full document
9
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 ...the boundary ... See full document
7
On calculation of eigenvalues and eigenfunctions of a Sturm Liouville type problem with retarded argument which contains a spectral parameter in the boundary condition
... 4 Conclusion In this study, first, we obtain asymptotic formulas for eigenvalues and eigenfunctions for discontinuous boundary-value problem with retarded argument which contains a spect[r] ... See full document
9
On an Inverse Problem for Sturm-Liouville Equation
... the inverse problem. In the process of the solution of the inverse problem giving an algorithm for constructing the potential is ...of inverse problem for equation (1) is given ... See full document
9
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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 ... See full document
13
Spectral properties of an impulsive Sturm–Liouville operator
... a spectral parameter, and ρ is the density ...the spectral theory of boundary value problem ...the spectral analysis of the problem having discrete and continuous spectrum ... See full document
16
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
18
On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions
... the boundary conditions have increased in recent years (see [–] and correspond- ing ...Moreover, boundary conditions which depend linearly and nonlinearly on the spectral parameter are ... See full document
19
Inverse spectral problem for Sturm Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition
... the boundary value problem ()-() is found by using a new integral representation for the solution of (), and its properties are ...the boundary value problem ()-() is ... See full document
12
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
On a uniqueness theorem of Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
... the inverse spectral and nodal problems for the BVP ...classical Sturm–Liouville oper- ator in ...the operator L(q, U 0 , U 1 ) can be ... See full document
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