Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems of arbitrary order

Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems of arbitrary order

Weyl-Titchmarsh Theory for Hamiltonian Dynamic Systems

and Applied Analysis 3 and spectral theory for the system 1.2 . Shi studied Weyl-Titchmarsh theory and spectral theory for the system 1.2 in 33, 34 ; Clark and Gesztesy established the Weyl-Titchmarsh theory for a class of discrete Hamiltonian systems that include system 1.2 23 . Sun et al. established the GKN-theory for the system 1.2 35 . 1.3. Dynamic Equations A time scale T is an arbitrary ...

On Weyl–titchmarsh Theory for Singular Finite Difference Hamiltonian Systems

We develop the basic theory of matrix-valued Weyl–Titchmarsh M-functions and the associated Green’s matrices for whole-line and half-line self-adjoint Hamiltonian finite difference systems with separated boundary conditions.

Weyl-Titchmarsh theory for symplectic difference systems

In this work, we establish Weyl–Titchmarsh theory for symplectic difference systems. This paper extends classical Weyl–Titchmarsh theory and provides a foundation for studying spectral theory of symplectic difference systems. 2010 Elsevier Inc. All rights reserved.

Overview of Weyl–Titchmarsh Theory for Second Order Sturm–Liouville Equations on Time Scales

In this paper we present an overview of the basic Weyl–Titchmarsh theory for second order Sturm–Liouville equations on time scales. We construct the m(λ)function, the Weyl solution, and the Weyl disk. We justify the terminology “disk” by its geometric properties, show explicitly the coordinates of the center of the disk, and calculate its radius. We show that the dichotomy regarding the squarei...