Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales
type: Item
instance of: scholarly article
title: Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales
zbMATH Open document ID: 1205.34125
author: Douglas R. Anderson
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-10-25T00:00:00Z
full work available at URL: https://arxiv.org/abs/1001.3912
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34B20
zbMATH DE Number: 5804540
zbMATH Keywords: linear equations
zbMATH Keywords: non-self-adjoint operator
zbMATH Keywords: Orr-Sommerfeld equation
zbMATH Keywords: Sturm-Liouville theory
zbMATH Keywords: even-order equations
zbMATH Keywords: Weyl-Sims theory
MaRDI profile type: Publication
OpenAlex ID: W2118028839
arXiv ID: 1001.3912
cites work: Equivalence of discrete Euler equations and discrete Hamiltonian systems
cites work: Hamiltonian systems on time scales
cites work: Variable Change for Sturm-Liouville Differential Expressions on Time Scales
cites work: Q4716258
cites work: Q3561499
cites work: Q3512327
cites work: Higher-order self-adjoint boundary-value problems on time scales
cites work: Discrete and continuous boundary problems
cites work: Sturmian and spectral theory for discrete symplectic systems
cites work: Q2723195
cites work: Q4797834
cites work: On the spectrum of second-order differential operators with complex coefficients
cites work: Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems
cites work: On Characteristic Value Problems in High Order Differential Equations Which Arise in Studies on Hydrodynamic and Hydromagnetic Stability
cites work: Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
cites work: On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems
cites work: On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
cites work: Analysis on measure chains - a unified approach to continuous and discrete calculus
cites work: Linear Hamiltonian systems on time scales: Positivity of quadratic functionals
cites work: On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
cites work: ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM
cites work: $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
cites work: On \(M\)-functions and operator theory for non-self-adjoint discrete Hamiltonian systems
cites work: Accurate solution of the Orr–Sommerfeld stability equation
cites work: Spectral theory of discrete linear Hamiltonian systems.
cites work: Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems
cites work: Spectral theory of Sturm-Liouville difference operators
cites work: Q3242330
cites work: The Glazman--Krein--Naimark theory for a class of discrete Hamiltonian systems
DOI: 10.1016/J.JMAA.2010.08.023
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description: scientific article