Real-parameter square-integrable solutions and the spectrum of differential operators

DOI10.1016/j.jmaa.2010.11.052zbMath1210.47087OpenAlexW2026839955MaRDI QIDQ624635

Jiong Sun, Xiaoling Hao, Anton Zettl

Publication date: 9 February 2011

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.2010.11.052

zbMATH Keywords

sensitivitystabilityvariational inequalitiescontinuous spectrumordinary differential operatorsmonotone operatorsdeficiency indexnonlinear operatorssingular boundary conditions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Monotone operators and generalizations (47H05) General theory of ordinary differential operators (47E05)

Related Items (14)

Dissipative operators, symplectic geometry, and limit-circle solutions ⋮ Characterization of domains of self-adjoint ordinary differential operators. II ⋮ Classification of self-adjoint domains of odd-order differential operators with matrix theory ⋮ Fourth order canonical forms of singular self-adjoint boundary conditions ⋮ Spectral properties of Sturm-Liouville problems with strongly singular potentials ⋮ On essential spectra of singular linear Hamiltonian systems ⋮ The spectrum of differential operators and square-integrable solutions ⋮ Survey article: Self-adjoint ordinary differential operators and their spectrum ⋮ The Sturm-Liouville Friedrichs extension. ⋮ Eigenvalues of limit-point Sturm-Liouville problems ⋮ Simplicity and spectrum of singular Hamiltonian systems of arbitrary order ⋮ Essential spectrum of singular discrete linear Hamiltonian systems ⋮ \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems ⋮ Symplectic geometry and dissipative differential operators

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