Two singular point linear Hamiltonian systems with an interface condition

DOI10.1002/mana.200910032zbMath1198.34011OpenAlexW2129714006MaRDI QIDQ3550673

Horst Behncke, Don B. Hinton

Publication date: 1 April 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200910032

zbMATH Keywords

Green's functionsspectral theoryinterface conditionTitchmarsh-Weyl \(m\)-functions

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear ordinary differential equations and systems (34A30) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items

Two-Dimensional Hamiltonian Systems, Positive solutions of nonhomogeneous boundary value problems for some nonlinear equation with \(\phi\)-Laplacian, Spectral theory of Hamiltonian systems with almost constant coefficients, Singular Hahn - Hamiltonian systems, \(\mathcal C\)-symmetric Hamiltonian systems with almost constant coefficients, On characteristic matrices and eigenfunction expansions of two singular point symmetric systems, ᵉe-symmetric second order differential operators, Spectral analysis of higher order differential operators with unbounded coefficients II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Selfadjoint boundary value problems associated with a pair of mixed linear ordinary differential equations
• Asymptotic integration of linear differential equations
• The spectrum of differential operators with almost constant coefficients. II
• Solutions of initial value problems associated with a pair of mixed linear ordinary differential equations
• The lack of self-adjointness in three-point boundary value problems
• Differential operators and their adjoints under integral and multiple point boundary conditions
• Self-adjoint multipoint boundary value problems
• Multi-interval linear ordinary boundary value problems and complex symplectic algebra
• SPECTRAL THEORY OF HIGHER ORDER DIFFERENTIAL OPERATORS
• The remainder in asymptotic integration
• Eigenfunctions, deficiency indices and spectra of odd-order differential operators
• Functions of Bounded Variation as Solutions of Differential Systems
• Spectral Analysis of Higher-Order Differential Operators II: Fourth-Order Equations
• On the Titchmarsh‐Weyl Coefficients for Singular S‐Hermitian Systems I
• Spectral Analysis of Higher Order Differential Operators I: General Properties of the M -Function
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM
• Spectral analysis of fourth order differential operators I
• Spectral analysis of fourth order differential operators II
• The Lack of Self-Adjointness in Three Point Boundary Value Problems
• General Boundary Conditions for an Ordinary Linear Differential System
• Adjoint and Self-Adjoint Boundary Value Problems with Interface Conditions
• Some Remarks on Hermitian and Anti-Hermitian Properties of Green’s Matrices
• Adjoints of Multipoint-Integral Boundary Value Problems
• Deficiency indices and spectral theory of third order differential operators on the half line
• The Expansion Problem with Boundary Conditions at a Finite Set of Points
• Differential equations with general boundary conditions
• The spectrum of differential operators of order \(2n\) with almost constant coefficients