Add to ORKGThe main purpose of this paper is to develop Titchmarsh- Weyl theory of canonical systems. To this end, we first observe the fact that Schrodinger and Jacobi equations can be written into canonical systems. We then discuss the theory of Weyl m-function for canonical systems and establish the relation between the Weyl m-functions of Schrodinger equations and that of canonical systems which involve Schrodinger equations
This note concerns an eigenvalue problem for a Hamiltonian system of ordinary differential equations...
We develop Weyl-Titchmarsh theory for self-adjoint Schrodinger operators Ha in L-2((a,b); dx; H) ass...
Boundary value problems for singular canonical systems of differential equations of the form Jf'(t) ...
We establish the Weyl-Titchmarsh theory for singular linear Hamiltonian dynamic systems on a time sc...
This survey article contains various aspects of the direct and inverse spectral problem for twodimen...
Oscillation theory for canonical systems is developed. This is then applied to various topics relat...
Abstract. We present two inverse spectral relations for canonical differential equations Jy′(x) = −...
Part I of this paper deals with two-dimensional canonical systems $y'(x)=yJH(x)y(x)$, $x\in(a,b)$, w...
AbstractThe paper extends earlier results of the authors for canonical systems with spectral functio...
AbstractWe develop the basic theory of matrix-valued Weyl–Titchmarsh M-functions and the associated ...
Abstract. A canonical system of differential equations, or Hamiltonian sys-tem, is a system of order...
In this paper, we extend the Remling’s Theorem on canonical systems that the ω limit points of the H...
We develop Weyl-Titchmarsh theory for self-adjoint Schrodinger operators Hα in L2((a,b);dx;H) associ...
Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any m...
For a two-dimensional canonical system $y'(t)=zJH(t)y(t)$ on some interval $(a,b)$ whose Hamiltonian...
This note concerns an eigenvalue problem for a Hamiltonian system of ordinary differential equations...
We develop Weyl-Titchmarsh theory for self-adjoint Schrodinger operators Ha in L-2((a,b); dx; H) ass...
Boundary value problems for singular canonical systems of differential equations of the form Jf'(t) ...
We establish the Weyl-Titchmarsh theory for singular linear Hamiltonian dynamic systems on a time sc...
This survey article contains various aspects of the direct and inverse spectral problem for twodimen...
Oscillation theory for canonical systems is developed. This is then applied to various topics relat...
Abstract. We present two inverse spectral relations for canonical differential equations Jy′(x) = −...
Part I of this paper deals with two-dimensional canonical systems $y'(x)=yJH(x)y(x)$, $x\in(a,b)$, w...
AbstractThe paper extends earlier results of the authors for canonical systems with spectral functio...
AbstractWe develop the basic theory of matrix-valued Weyl–Titchmarsh M-functions and the associated ...
Abstract. A canonical system of differential equations, or Hamiltonian sys-tem, is a system of order...
In this paper, we extend the Remling’s Theorem on canonical systems that the ω limit points of the H...
We develop Weyl-Titchmarsh theory for self-adjoint Schrodinger operators Hα in L2((a,b);dx;H) associ...
Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any m...
For a two-dimensional canonical system $y'(t)=zJH(t)y(t)$ on some interval $(a,b)$ whose Hamiltonian...
This note concerns an eigenvalue problem for a Hamiltonian system of ordinary differential equations...
We develop Weyl-Titchmarsh theory for self-adjoint Schrodinger operators Ha in L-2((a,b); dx; H) ass...
Boundary value problems for singular canonical systems of differential equations of the form Jf'(t) ...