13 citations · 20 across the 10 of their papers we have counts for
10 papers
Asymptotic formulas for fundamental system of solutions of high order ordinary differential equations with coefficients -- distributions
Artem Savchuk, Andrei Shkalikov
This paper deals with differential equations of the form where $n=2m\geqslant 2…
Spectral properties of complex Airy operator on the semi-axis
Artem Savchuk, Andrei Shkalikov
We prove the theorem on the completeness of the root functions of the Schroedinger operator on the semi-axis with a complex--valued potential $p(x)…
Recovering of a potential of Sturm-Liouville operator from a finite sets of eigenvalues and norming constants
Artem Savchuk
It is well known that a potential of the Sturm-Liouville operator on the finite interval can be uniquely recovered by the spectrum …
Riesz basicity with parentheses for Dirac system with summable potential
Artem Savchuk, Inna Sadovnichaya
We deal with the Dirac operator generated in the space by differential expression \begin{gather*} \ell_P(\mathbf y)=B\mathbf y'+P\mathbf…
The Dirac Operator with Complex-Valued Summable Potential
Artem Savchuk, Andrey Shkalikov
The paper deals with the Dirac operator generated on the finite interval by the differential expression , where $$ B=\begin{pmatrix}0&1\\-1&0\…
Interpolation of nonlinear maps
T. Kappeler, A. Savchuk, A. Shkalikov +1
Let and be complex Banach couples and assume that with norms satisfying for some . For any $0<θ<1…