Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales

DOI10.1016/J.JMAA.2010.08.023zbMath1205.34125arXiv1001.3912OpenAlexW2118028839MaRDI QIDQ711041

Douglas R. Anderson

Publication date: 25 October 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.3912

zbMATH Keywords

linear equationsOrr-Sommerfeld equationSturm-Liouville theorynon-self-adjoint operatoreven-order equationsWeyl-Sims theory

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Dynamic equations on time scales or measure chains (34N05)

Related Items (11)

Limit point and limit circle classification for symplectic systems on time scales ⋮ Extremal solutions at infinity for symplectic systems on time scales I – Genera of conjoined bases ⋮ q−Hamiltonian systems ⋮ Conformable fractional dynamic Dirac system ⋮ Non–limit‐circle and limit‐point criteria for symplectic and linear Hamiltonian systems ⋮ Extremal solutions at infinity for symplectic systems on time scales II - Existence theory and limit properties ⋮ Impulsive Dirac system on time scales ⋮ One Dimensional Dirac Operators on Time Scales ⋮ Weyl-Titchmarsh theory for time scale symplectic systems on half line ⋮ Weyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter ⋮ Time scale symplectic systems with analytic dependence on spectral parameter

Cites Work

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• On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• The Glazman--Krein--Naimark theory for a class of discrete Hamiltonian systems
• Spectral theory of Sturm-Liouville difference operators
• On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
• Equivalence of discrete Euler equations and discrete Hamiltonian systems
• Spectral theory of discrete linear Hamiltonian systems.
• Hamiltonian systems on time scales
• Linear Hamiltonian systems on time scales: Positivity of quadratic functionals
• On \(M\)-functions and operator theory for non-self-adjoint discrete Hamiltonian systems
• Higher-order self-adjoint boundary-value problems on time scales
• Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems
• Discrete and continuous boundary problems
• Sturmian and spectral theory for discrete symplectic systems
• On the spectrum of second-order differential operators with complex coefficients
• Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems
• Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM
• Variable Change for Sturm-Liouville Differential Expressions on Time Scales
• Accurate solution of the Orr–Sommerfeld stability equation
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• On Characteristic Value Problems in High Order Differential Equations Which Arise in Studies on Hydrodynamic and Hydromagnetic Stability

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