A. Lunyov

activity

20132023

most citedSpectral functions of the simplest even order ordinary differential operator

5 citations · 12 across the 7 of their papers we have counts for

collaborators

8 papers

math.SP2023

On the trace formulas and completeness property of root vectors systems for $2 \times 2$ Dirac type operators

Anton A. Lunyov, Mark M. Malamud

The paper is concerned with the completeness property of the system of root vectors of a boundary value problem for the following $2 \times 2$ Dirac type equation $$ L y = -i B^{-1…

math.SP2022

Criterion of Bari basis property for $2 \times 2$ Dirac-type operators with strictly regular boundary conditions

Anton A. Lunyov

The paper is concerned with the Bari basis property of a boundary value problem associated in $L^{2} ([0, 1]; C^{2})$ with the following $2 \times 2$ Dirac-type equation for $y…

math.SP2021★ 4 cited

On transformation operators and Riesz basis property of root vectors system for $n \times n$ Dirac type operators. Application to the Timoshenko beam model

Anton A. Lunyov, Mark M. Malamud

The paper is concerned with the following $n \times n$ Dirac type equation $L y = - i B (x)^{- 1} (y^{'} + Q (x) y) = λ y, B (x) = B (x)^{*}, y = col (y_{1}, \dots, y_{n}), x \in [0, ℓ],$ on…

math.SP2020

Stability of spectral characteristics and Bari basis property of boundary value problems for $2 \times 2$ Dirac type systems

Anton A. Lunyov, Mark M. Malamud

The paper is concerned with the stability property under perturbation $Q \to Q$ of different spectral characteristics of a BVP associated in $L^{2} ([0, 1]; C^{2})$ with the…

math.SP2018★ 1 cited

Completeness property of one-dimensional perturbations of normal and spectral operators generated by first order systems

Anton A. Lunyov, Mark M. Malamud

The paper is concerned with completeness property of rank one perturbations of unperturbed operators generated by special boundary value problems (BVP) for the following $2 \times…

math.SP2015★ 2 cited

On the Riesz basis property of root vectors system for $2 \times 2$ Dirac type operators

Anton A. Lunyov, Mark M. Malamud

The paper is concerned with the Riesz basis property of a boundary value problem associated in $L^{2} [0, 1] \otimes C^{2}$ with the following $2 \times 2$ Dirac type equation $…

math.SP2014

On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications

Anton A. Lunyov, Mark M. Malamud

The paper is concerned with the completeness property of root functions of general boundary value problems for $n \times n$ first order systems of ordinary differential equations o…

math.SP2013★ 5 cited

Spectral functions of the simplest even order ordinary differential operator

Anton A. Lunyov

We consider the minimal differential operator A generated in $L^{2} (0, \infty)$ by the differential expression $l (y) = (- 1)^{n} y^{(2 n)}$ . Using the technique of boundary triplets and t…

On the trace formulas and completeness property of root vectors systems for 2×2 Dirac type operators

Criterion of Bari basis property for 2×2 Dirac-type operators with strictly regular boundary conditions

On transformation operators and Riesz basis property of root vectors system for n×n Dirac type operators. Application to the Timoshenko beam model

Stability of spectral characteristics and Bari basis property of boundary value problems for 2×2 Dirac type systems

Completeness property of one-dimensional perturbations of normal and spectral operators generated by first order systems

On the Riesz basis property of root vectors system for 2×2 Dirac type operators

On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications

Spectral functions of the simplest even order ordinary differential operator

On the trace formulas and completeness property of root vectors systems for $2 \times 2$ Dirac type operators

Criterion of Bari basis property for $2 \times 2$ Dirac-type operators with strictly regular boundary conditions

On transformation operators and Riesz basis property of root vectors system for $n \times n$ Dirac type operators. Application to the Timoshenko beam model

Stability of spectral characteristics and Bari basis property of boundary value problems for $2 \times 2$ Dirac type systems

On the Riesz basis property of root vectors system for $2 \times 2$ Dirac type operators