On the asymptotic expansion of the characteristic determinant for a \(2 \times 2\) Dirac type system

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators
On the completeness of systems of root vectors for first-order systems: application to the Regge problem
On spectral synthesis for dissipative Dirac type operators
On the completeness of the root vectors of first-order systems
On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations
On the completeness of the system of root functions of the Sturm-Liouville operator with degenerate boundary conditions
On the completeness of the system of root vectors of the Sturm-Liouville operator with general boundary conditions
Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
The boundary problems and developments associated with a system of ordinary linear differential equations of the first order.
Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators
On the spectrum of two-point boundary value problems for the Dirac operator
The Riesz basis property with brackets for Dirac systems with summable potentials
Spectral asymptotics of solutions of a \(2\times 2\) system of first-order ordinary differential equations
Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string
Regular boundary value problems for the Dirac operator
Asymptotic behavior of solutions of the Dirac system with an integrable potential
On the Riesz basis property of the root vector system for Dirac-type \(2\times 2\) systems
The Dirac operator with complex-valued summable potential
On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications
Almost invariant spectral properties of a contraction and multiplicative properties of analytic operator-functions
On the asymptotic behaviour of solutions of the Dirac system and applications to the Sturm-Liouville problem with a singular potential
Bari–Markus property for Riesz projections of 1D periodic Dirac operators
Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
Bessel property and basicity of the system of root vector-functions of Dirac operator with summable coefficient
Completeness theorems for systems of differential equations
On convergence of spectral expansions of Dirac operators with regular boundary conditions
On the completeness of root function system of the Dirac operator with two-point boundary conditions