M. Ignatyev

activity

20132020

most citedDirect and inverse scattering on noncompact star-type quantum graph with Bessel singularity

1 citations · 3 across the 3 of their papers we have counts for

collaborators

4 papers

math.SP2020★ 1 cited

Reconstruction formula for differential systems with a singularity

Mikhail Ignatyev

Our studies concern some aspects of scattering theory of the singular differential systems $y^{'} - x^{- 1} A y - q (x) y = ρB y, x > 0$ with $n \times n$ matrices $A, B, q (x), x \in (0, \infty)$ , w…

math.SP2016

Spectral analysis for differential systems with a singularity

Mikhail Ignatyev

We consider the differential system $y^{'} - x^{- 1} A y - q (x) y = ρB y$ with $n \times n$ matrices $A, B, q (x)$ , where $A, B$ are constant, $B$ is diagonal, $A$ and $q (x)$ are off-diagonal, $q(\…

math.SP2015★ 1 cited

Direct and inverse scattering on noncompact star-type quantum graph with Bessel singularity

Mikhail Ignatyev

In this paper we study the noncompact star-type graph with perturbed radial Schrodinger equation on each ray and the matching conditions of some special form at the vertex. The res…

math.SP2013★ 1 cited

Inverse scattering problem for Sturm-Liouville operator on non-compact A-graph. Uniqueness result

Mikhail Ignatyev

In a finite-dimensional Euclidian space we consider a connected metric graph with the following property: each two cycles can have at most one common point. Such graphs are called…