3 citations · 7 across the 9 of their papers we have counts for
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On the completeness of root function system of the Dirac operator with two-point boundary conditions
Alexander Makin
The paper is concerned with the completeness property of root functions of the Dirac operator with summable complexvalued potential and non-regular boundary conditions. We also obt…
Characterization of the periodic and antiperiodic spectra of non-self-adjoint Dirac operators
Alexander Makin
The necessary and sufficient conditions are given for a sequence of complex numbers to be the periodic (or antiperiodic) spectrum of non-self-adjoint Dirac operator.
On Convergence of Spectral Expansions of Dirac Operators with Regular Boundary Conditions
Alexander Makin
Spectral problem for the Dirac operator with regular but not strongly regular boundary conditions and complex-valued potential summable over a finite interval is considered. The pu…
On a differential operator with absent spectrum
Alexander Makin
In this paper, we consider spectral problem for the nth order ordinary differential operator with degenerate boundary conditions. We construct a nontrivial example of boundary valu…
On two-point boundary value problems for the Sturm-Liouville operator
Alexander Makin
In this paper, we study spectral problems for the Sturm-Liouville operator with arbitrary complexvalued potential q(x) and two-point boundary conditions. All types of mentioned bou…
On Properties of the Sturm-Liouville Operator with Degenerate Boundary Conditions
Alexander Makin
We consider spectral problems for the Sturm-Liouville operator with arbitrary complex-valued potential q(x) and degenerate boundary conditions. We solve corresponding inverse probl…