Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices

DOI10.1016/j.jmaa.2017.12.042zbMath1385.45005OpenAlexW2773742534MaRDI QIDQ1706567

Zhaowen Zheng, Qing Kai Kong

Publication date: 22 March 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.12.042

zbMATH Keywords

Friedrichs extensiondisconjugateintermediate deficiency indexLC-type solutionsingular Hamiltonian operator

Mathematics Subject Classification ID

Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (17)

A linearly convergent algorithm for sparse signal reconstruction ⋮ Characterization of symmetric operators and their Friedrichs extension for singular Sturm-Liouville problems ⋮ On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint ⋮ Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint ⋮ Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra ⋮ Adaptive parallel simultaneous stabilization of a class of nonlinear descriptor systems via dissipative matrix method ⋮ Bipartite consensus for multiagent systems via event-based control ⋮ On the eigenvalues of spectral gaps of matrix-valued Schrödinger operators ⋮ The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach ⋮ Regular approximation of linear Hamiltonian operators with two singular endpoints ⋮ A note on the fractional generalized higher order KdV equation ⋮ A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator ⋮ Friedrichs extensions of a class of singular Hamiltonian systems ⋮ Non-negative extensions of Hamiltonian systems ⋮ An exact estimate result for \(p\)-biharmonic equations with Hardy potential and negative exponents ⋮ The iterative scheme and the convergence analysis of unique solution for a singular fractional differential equation from the eco-economic complex system's co-evolution process ⋮ A singular fractional Kelvin-Voigt model involving a nonlinear operator and their convergence properties

Cites Work

• Unnamed Item
• Unnamed Item
• GKN theory for linear Hamiltonian systems
• Characterization of domains of self-adjoint ordinary differential operators
• Spectral theory of ordinary differential operators
• Sturmian theory for ordinary differential equations
• Semi-boundedness of ordinary differential operators
• Symmetric differential operators and their Friedrichs extensions
• Floquet theory for left-definite Sturm-Liouville problems
• On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
• Dependence of eigenvalues of Sturm-Liouville problems on the boundary
• The Friedrichs extension of singular differential operators
• Eigenvalues below the lower bound of minimal operators of singular Hamiltonian expressions
• Dependence of eigenvalues of \(2m\)th-order spectral problems
• Discrete and continuous boundary problems
• Limit point, strong limit point and Dirichlet conditions for Hamiltonian differential systems
• Self‐adjoint extensions for singular linear Hamiltonian systems
• The Friedrichs extension of regular ordinary differential operators
• Characterizations of the Friedrichs Extensions of Singular Sturm–Liouville Expressions
• Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
• A Characterization of the Friedrichs Extension of Sturm-Liouville Operators
• Complex symplectic geometry with applications to ordinary differential operators
• Strong limit-point classification of singular Hamiltonian expressions
• On the self-adjoint extensions of symmetric ordinary differential operators with middle deficiency indices
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM, II
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM

This page was built for publication: Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices