1 citations · 1 across the 5 of their papers we have counts for
5 papers
Asymptotics of the spectra of the Dirichlet and Dirichlet-Neumann problems for the Sturm-Liouville equation with integral perturbation
A. A. Shkalikov, V. N. Sivkin
The article studies the Dirichlet and Dirichlet-Neumann problems for the Sturm-Liouville equation perturbed by an integral operator with a convolution kernel. Sharp asymptotic form…
Spectral asymptotics for solutions of system of ordinary differential equations of the first order
A. P. Kosarev, A. A. Shkalikov
The aim of the paper is to find representation for solutions of system of ordinary differential equations $$ \mathbf{y^\prime} - B(x)\mathbf{y} = λA(x)\mathbf{y}, \quad…
Odinary differential operators of odd order with distribution coefficients
K. A. Mirzoev, A. A. Shkalikov
We work with differential expressions of the form \begin{align} τ_{2n+1} y &=(-1)^ni \{(q_{0}y^{(n+1)})^{(n)}+(q_{0}y^{(n)})^{(n+1)}\}+ \sum\limits_{k=0}^{n}(-1)^{n+k}(p^{(k)}_ky^{…
The Dirac Operator with Complex-Valued Summable Potential
Artem Savchuk, Andrey Shkalikov
The paper deals with the Dirac operator generated on the finite interval by the differential expression , where $$ B=\begin{pmatrix}0&1\\-1&0\…
Regular and Completely Regular Differential Operators
E. A. Shiryaev, A. A. Shkalikov
We define the concept of completely regular ordinary differential operators and give various criteria for operators to belong to this class. We give also criteria for Birkhof regul…