spectral parameter
Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
... 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 and simplicity ...
16
Inverse spectral problem for Sturm Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition
... scattering problem deals with the construction of q(x) in terms of the scattering data. In this paper in the case of discontinuous coefficient (), we consider the inverse scattering problem for Sturm-Liouville operator ...
12
Spectrum of the Sturm Liouville operators with boundary conditions polynomially dependent on the spectral parameter
... the spectral parameter and obtained asymptotic estimates of eigenval- ues or ...the spectral parameter was discussed by a number of authors (see ...
7
On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition
... The aim of the present paper is to investigate the direct and inverse scattering problem on the half-line 0, ∞ for the boundary value problem 1.1–1.3. In the case ρx ≡ 1, the inverse problem of scattering theory for 1.1 ...
17
Spectral properties of the Klein Gordon s wave equation with spectral parameter dependent boundary condition
... the spectral parameter- dependent boundary condition y (0)−(aλ+ b)y(0) = 0 in the space L 2 (R + ), where a ≠ ±i, b are complex constants, q is a complex-valued ...and spectral singularities with ...
9
On a uniqueness theorem of Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
... uniquely determine (up to a constant translation on both boundary conditions and po- tential) the Sturm–Liouville operator associated with boundary conditions polynomially dependent on the spectral ...
11
On a Boundary Value Problem for a Polynomial Pencil of the Sturm Liouville Equation with Spectral Parameter in Boundary Conditions
... It is known that the Sturm-Liouville problems play an important role in solving many problems in mathematical physics. There has been a growing interest in Sturm- Liouville problems with spectral parameter ...
7
Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions
... In a general case when the operator L have spectral parameter dependent bound- ary conditions and discontinuous conditions, we generalize the well-known result of Hochstadt [13]. We construct the Green’s ...
17
Statistical Spectral Parameter Estimation of Acoustic Signals with Applications to Byzantine Music
... and the interdependence becomes more apparent. We can see, for example, that the equiva- lent bandwidth ∆f is on the order of 1/M which is the equivalent length in the time domain, i.e. ∆f = O M 1 . The frequency ...
117
Principal vectors of second order quantum difference equations with boundary conditions dependent on spectral parameter
... eigenvalue parameter with spectral singularities was first studied by Aygar and Bohner ...the spectral singularities of this ...the spectral expansion formula for this ...
9
A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition
... Moreover, a singular non-self-adjoint boundary value problem with a discontinuous coefficient and including a spectral paraxneter in the boundary condition was investigated in [10].. Our[r] ...
8
Spectral Parameter Estimation for Linear System Identification EUR 4479
... In addition, procedures and computing programmes are supplied for the estimation of these parameters by means of the statistical dynamics analyzer S.D.A.. The case of deterministic signa[r] ...
64
Spectral Properties of the Differential Operators of the Fourth Order with Eigenvalue Parameter Dependent Boundary Condition
... with spectral parameter in the boundary conditions have been considered in various formulations by many authors see, ...Sturm-Liouville spectral problem with spectral parameter in the ...
29
CONSTRUCTION OF GREEN FUNCTION FOR BESSEL-HELMHOLTZ EQUATION
... a spectral parameter when this parameter is a point of the continuous spectrum of the problem, three methods are used, more exactly – the limit absorption principle, the limit am- plitude principle ...
14
Moisture sorption as a potential condition marker for historic silks: noninvasive determination by near infrared spectroscopy
... single spectral parameter, the intensity of the water combination band, is sufficient to indicate the relative moisture content of silk and allows distinction of unaged and heat, light, and humidity aged ...
5
Download Download PDF
... the spectral parameter, leads to essential difficulties, comparing with standard differential operators (see [27, 28] and references ...Inverse spectral problems for the integro-differential ...
9
On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions
... the spectral parameter are considered in [, –] and [–], ...the spectral parameter and transmission conditions arise in heat, mechanics, mass transfer problems, in diffraction ...
19
On Nonisospectral AKNS System with Infinite Number of Terms and its Exact Solutions
... linear spectral problems can be generally classified as the isospectral equations which often describe solitary waves in lossless and uniform media and the nonisospectral equations describing the solitary waves in ...
8
The inverse scattering problem of some Schrödinger type equation with turning point
... The aim of the present paper is to investigate the inverse scattering problem on the half- line [, ∞) for some version of the one-dimensional Schrödinger equation with turning. In the case of ρ(x) = , the inverse ...
15
Asymptotic Formulas of the Solutions and the Trace Formulas for the Polynomial Pencil of the Sturm Liouville Operators
... This work studies the asymptotic formulas for the solutions of the Sturm-Liouville equation with the polynomial dependence in the spectral parameter. Using these asymptotic formulas it is proved some trace ...
7