The paper is devoted to inverse spectral problems for weighted graphs. We give the sharp upper bound reconstruction number of trees and unicyclic

17.1Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 17.2THE INVERSE HEAT-CONDUCTION PROBLEM A SPECTRAL STOCHASTIC APPROACH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 17.2.1Introduction: Representation of random variables . . . . . . . . . . . 9 17.2.2The stochastic inverse heat-conduction problem (SIHCP): Problem definition ....

The paper extends our earlier results on spectral theory of the 2-sphere Schrodinger operators H = A + Vwith even zonal potentials to a more difficult odd-potential case. We establish local spectral rigidity for odd zonal potentials and give the explicit solution of the inverse spectral problem. We are interested in the spectral theory of Schrodinger operators H = A + V on the 2-sphere S2 with ...

‎In the present paper‎, ‎some spectral properties of boundary value problems of Sturm-Liouville type on two disjoint bounded intervals with transmission boundary conditions are investigated‎. ‎Uniqueness theorems for the solution of the inverse problem are proved‎, ‎then we study the reconstructing of the coefficients of the Sturm-Liouville problem by the spectrtal mappings method.

Since the theory of spectral properties of non-self-accession differential operators on Sobolev spaces is an important field in mathematics, therefore, different techniques are used to study them. In this paper, two types of non-self-accession differential operators on Sobolev spaces are considered and their spectral properties are investigated with two different and new techniques.

A combination of finite energy sum rule techniques and Chiral Perturbation Theory (χPT) is used in order to exploit recent ALEPH data on the non-strange τ vector (V ) and axial-vector (A) spectral functions with respect to an experimental determination of the χPT quantity L10. A constrained fit of R (k,l) τ,V−A inverse moments (l < 0) and positive spectral moments (l ≥ 0) adjusts simultaneously...