Self-adjoint subspace extensions satisfying λ-linear boundary conditions

DOI10.1017/S0308210500015365zbMath0517.47018OpenAlexW2320047797MaRDI QIDQ3665738

Harald Roeh

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500015365

zbMATH Keywords

inhomogeneous boundary conditionsdeficiency indices

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05)

Related Items (6)

Selbstadjungierte Relations-Erweiterungen für eine Klasse von symmetrischen Differential-Funktional-Operatoren ⋮ The theory of V-Bézoutians and its applications ⋮ Eigenvalues and Pole Functions of Hamiltonian Systems with Eigenvalue Depending Boundary Conditions ⋮ Linearization of boundary eigenvalue problems ⋮ Eigenfunction expansions associated with pairs of ordinary differential expressions ⋮ Selfadjoint \(\Pi _{\kappa}\)-extensions of symmetric subspaces: An abstract approach to boundary problems with spectral parameter in the boundary conditions

Cites Work

• Operational calculus of linear relations
• Eigenfunction expansions for nondensely defined differential operators
• Self-adjoint extensions of symmetric subspaces
• Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces
• Self-adjoint subspace extensions of nondensely defined symmetric operators
• Self-adjoint problems for nondensely defined ordinary differential operators and their eigenfunction expansions
• Adjoint subspaces in Banach spaces, with applications to ordinary differential subspaces
• S-hermitesche Rand-Eigenwertprobleme. I
• S-hermitesche Rand-Eigenwertprobleme. II
• S-hermitesche Rand-Eigenwertprobleme. III
• Singuläre S-hermitesche Rand-Eigenwertprobleme
• Integraltransformationen zu singulären S-Hermiteschen Rand- Eigenwertproblemen. (Integral transformations to singular s-hermitian boundary eigenvalue problems)
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions

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