ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM, II

DOI10.1080/16073606.1986.9631590zbMath0615.34016OpenAlexW4240406819MaRDI QIDQ4724086

J. K. Shaw, Don B. Hinton

Publication date: 1986

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1986.9631590

zbMATH Keywords

Sturm-Liouville equationhomogeneous equation(2n)th-order linear Hamiltonian systemsAtkinson definiteness conditionTitchmarsh-Weyl m- coefficient

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99)

Related Items (17)

Principal Solutions Revisited ⋮ Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators ⋮ Eigenvalues below the lower bound of minimal operators of singular Hamiltonian expressions ⋮ Renormalized oscillation theory for Hamiltonian systems ⋮ On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line ⋮ Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators ⋮ The symmetry of singular Hamiltonian differenial operators and properties of deficiency indices ⋮ Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices ⋮ Geometric Characterization of Singular Self-Adjoint Boundary Conditions for Hamiltonian Systems ⋮ On Matrix-Valued Herglotz Functions ⋮ Weyl-Titchmarsh theory for Hamiltonian dynamic systems ⋮ Weyl-Titchmarsh theory for time scale symplectic systems on half line ⋮ On the Titchmarsh-Weyl M(λ)-coefficient and spectral density for a Dirac system ⋮ Weyl-Titchmarsh theory for symplectic difference systems ⋮ Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary values for an eigenvalue problem with a singular potential
• On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
• Hamiltonian systems of limit point or limit circle type with both endpoints singular
• Adjoint boundary value problems for compactified singular differential operators
• Spectral theory for linear systems of differential equations
• Disconjugacy
• Discrete and continuous boundary problems
• The spectral representation of ordinary self-adjoint differential operators
• On Boundary Value Problems for Hamiltonian Systems with Two Singular Points
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM
• Spectral Theory for the Differential Equation Lu= λ Mu
• The Eigenvalue Problem for Ordinary Differential Equations of the Second Order and Heisenberg's Theory of S-Matrices

This page was built for publication: ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM, II