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Singular perturbations of Schrodinger type operators are of interest in mathematics, e.g. to study spectral phenomena, and in applications of mathematics in various sciences, e.g. in physics,… (More)

Three different inverse
problems for the Schrodinger operator on a metric tree are
considered, so far with standard boundary conditions at the
vertices. These inverse problems are connected with… (More)

- Pavel Kurasov
- 1996

Investigation of the differential operators with the generalized coefficients having singular support on a disjoint set of points requires the consideration of the distribution theory with the set of… (More)

The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It is shown that this problem has a unique solution for graphs with rationally independent edges and… (More)

1. Rank one perturbations 2. Generalized perturbations 3. Finite rank perturbations 4. Scattering theory 5. Two-body problems 6. Few-body problems 7. Few-body in one dimension Appendix: historical… (More)

The transformations of all the Schrodinger operators with point interactions in dimension one under space reflection P , time reversal T and (Weyl) scaling W are presented. In particular, those… (More)

The spectral gap for Laplace operators on metric graphs and the relation between the graph's edge connectivity is investigated, in particular what happens to the gap if an edge is added to (or… (More)

- Pavel Kurasov
- 2008

Laplace operators on metric graphs are considered. It is proven that for compact graphs the spectrum of the Laplace operator determines the total length, the number of connected components, and the… (More)

- Igor Petukhov, Luydmila Steshina, Pavel Kurasov, Ilya Tanryverdiev
- IEEE 8th International Conference on Intelligent…
- 2016

The purpose of the paper is to develop methodological bases for assessing vocational aptitude of human-operators of man-machine systems. The model of vocational aptitude and the process of… (More)

AbstractThe essential spectrum of singular matrix differential operator determined by the operator matrix
$$\left( \begin{gathered} - \frac{{d}}{{{d}x}}p(x)\frac{{d}}{{{d}x}} + q(x){… (More)