Simplicity of linear ordinary differential operators

DOI10.1016/0022-0396(72)90074-5zbMath0222.34058OpenAlexW2027348425MaRDI QIDQ2547662

Richard C. Gilbert

Publication date: 1972

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(72)90074-5

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10)

Related Items (12)

On $$L_w^2 $$ -quasi-derivatives for solutions of perturbed general quasi-differential equations ⋮ Titchmarsh-Weyl theory for Schrödinger operators on unbounded domains ⋮ Sturm--Liouville operators and their spectral functions ⋮ Symmetric operators with real defect subspaces of the maximal dimension. Applications to differential operators ⋮ Unitary equivalence of proper extensions of a symmetric operator and the Weyl function ⋮ On Eisenbud's and Wigner's \(R\)-matrix: A general approach ⋮ Donoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentials ⋮ Simplicity and spectrum of singular Hamiltonian systems of arbitrary order ⋮ On the negative squares of indefinite Sturm--Liouville operators ⋮ On the essential spectra of regularly solvable operators in the direct sum spaces ⋮ Simplicity of differential operators on an infinite interval ⋮ Boundary-value problems for two-dimensional canonical systems

Cites Work

• Generalized resolutions of the identity for symmetric ordinary differential operators
• The spectral representation of ordinary self-adjoint differential operators
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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