[PDF] Top 20 Direct and inverse spectral problems for discrete Sturm Liouville problem with generalized function potential

... The inverse problem for the infinite Jacobi matrices from the GSF was investigated in [–], see also ...The inverse spectral problem for N × N tridiagonal symmetric matrix has been ... See full document

... 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 was ... See full document

... the direct and inverse scattering problem on the half-line 0, ∞ for the boundary value problem ...the inverse problem of scattering theory for ...containing spectral ... See full document

... of inverse spectral problems for differential opera- tors on geometrical ...The inverse problem consists in recovering the potential from the given spectral ...The ... See full document

... the generalized Weyl function turns into the ordinary Weyl ...studied inverse problems for the Sturm-Liouville operator with the potential from L(, ∞ ) by the Weyl ... See full document

... Inverse problems of spectral analysis imply the reconstruction of a linear operator from some or other of its spectral ...constants, spectral functions, scattering data, ...of ... See full document

... interval, inverse problems for the Sturm-Liouville operator with spectral pa- rameter, contained in the boundary conditions, have been investigated, and the unique- ness of the solution ... See full document

... been generalized and improved in a variety of ways; see ...the Sturm-Liouville problem, normalizing constants play an equal role with ... See full document

... The inverse problem which is the reconstruction of the operator from spectral data is a main research ...verse problems for Sturm-Liouville operators has been begun in 1929 and ... See full document

... the inverse Sturm-Liouville problems. The inverse Sturm- Liouville problems can be regarded as three aspects, ...the potential function q from given ... See full document

... The problem to describe the interaction between colliding particles is a fundamental one in the physics of particle, where the identification of Schr ¨odinger operator is utmost ...the inverse ... See full document

... 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 ... See full document

... Abstract. The aim of this paper is to introduce two new extensions of the Jacobi and Laguerre polynomials as the eigenfunctions of two non- classical Sturm-Liouville problems. We prove some important ... See full document

... a Sturm-Liouville operator with discontinuous coefficient and a spec- tral parameter in boundary ...the problem is given in a suitable Hilbert space in Section ...the inverse problem with ... See full document

... To summarize this study, in Section 1, it is proved that the operator associated with (2), (3) is self-adjoint and has a discrete spectrum. In Section 2, we establish an asymp- totic formula for the eigenvalues. ... See full document

... The present paper deals with the discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions. The aim of the present paper is to obtain the asymptotic formulas of the eigenvalues ... See full document

... 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 ... See full document

... eigenvalue problem for a real-symmetric and banded matric rather than to some matrix pencil or generalized eigenvalue problem of the form EY λAY ...eigenvalue problems, which are well posed, ... See full document

... that problem ()-() and the eigenvalue problem for operator T ...Weyl function and spectral data, which are called eigenvalues and normalizing ... See full document

... In [17], the author considered the problem (1.2)-(1.3). It is assumed that r is known as priori and he has reconstructed the unknown function q by zeros of eigenfunctions i.e. [17, theorem 3.1]. In this ... See full document