One dimensional Dirac operators [equation] considered with L2-potentials [equation] ; and subject to regular boundary conditions bc have discrete spectrum. In this thesis, we study basic properties of Riesz bases, prove existence of Riesz bases consisting of root functions of Dirac operators Lbc subject to strictly regular bc, nd adjoint operator (Lbc), nd all self-adjoint bc, and calculate some special self-adjoint extensions
This paper presents a su± cient condition for a one-dimensional Dirac operator with a potential ten...
This paper presents a su± cient condition for a one-dimensional Dirac operator with a potential ten...
summary:In this article, we consider the operator $L$ defined by the differential expression \[ \ell...
AbstractWe study the system of root functions (SRF) of Hill operator Ly=−y″+vy with a singular (comp...
AbstractOne dimensional Dirac operators Lbc(v)y=i(100−1)dydx+v(x)y,y=(y1y2),x∈[0,π], considered with...
AbstractOne dimensional Dirac operators Lbc(v)y=i(100−1)dydx+v(x)y,y=(y1y2),x∈[0,π], considered with...
AbstractWe study the system of root functions (SRF) of Hill operator Ly=−y″+vy with a singular (comp...
We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville oper...
AbstractWe prove in this paper that the boundary spectral data, i.e. the Dirichlet eigenvalues and n...
The one-dimensional Dirac operators with periodic potentials subject to periodic, antiperiodic and a...
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator ly ≤ -y″ + q(x)y wi...
AbstractUsing the resolvent method and the technique of weighted L2-estimates we deduce the non-exis...
AbstractWe consider the indefinite Sturm–Liouville problem −f″=λrf, f′(−1)=f′(1)=0 where r∈L1[−1,1] ...
In the paper we establish formula for the second regularized trace of the problem generated by Stur...
AbstractWe consider the direct and inverse spectral problems for Dirac operators that are generated ...
This paper presents a su± cient condition for a one-dimensional Dirac operator with a potential ten...
This paper presents a su± cient condition for a one-dimensional Dirac operator with a potential ten...
summary:In this article, we consider the operator $L$ defined by the differential expression \[ \ell...
AbstractWe study the system of root functions (SRF) of Hill operator Ly=−y″+vy with a singular (comp...
AbstractOne dimensional Dirac operators Lbc(v)y=i(100−1)dydx+v(x)y,y=(y1y2),x∈[0,π], considered with...
AbstractOne dimensional Dirac operators Lbc(v)y=i(100−1)dydx+v(x)y,y=(y1y2),x∈[0,π], considered with...
AbstractWe study the system of root functions (SRF) of Hill operator Ly=−y″+vy with a singular (comp...
We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville oper...
AbstractWe prove in this paper that the boundary spectral data, i.e. the Dirichlet eigenvalues and n...
The one-dimensional Dirac operators with periodic potentials subject to periodic, antiperiodic and a...
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator ly ≤ -y″ + q(x)y wi...
AbstractUsing the resolvent method and the technique of weighted L2-estimates we deduce the non-exis...
AbstractWe consider the indefinite Sturm–Liouville problem −f″=λrf, f′(−1)=f′(1)=0 where r∈L1[−1,1] ...
In the paper we establish formula for the second regularized trace of the problem generated by Stur...
AbstractWe consider the direct and inverse spectral problems for Dirac operators that are generated ...
This paper presents a su± cient condition for a one-dimensional Dirac operator with a potential ten...
This paper presents a su± cient condition for a one-dimensional Dirac operator with a potential ten...
summary:In this article, we consider the operator $L$ defined by the differential expression \[ \ell...