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math.SP2025
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…
math.SP2014★ 1 cited
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\…
math.SP2007
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…