scientific article

zbMath0632.47038MaRDI QIDQ3769477

John Locker

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

generalized Green's functionsgeneralized inverses of differential operatorsminimal smoothness conditionsnoninvertible boundary value problemsordinary linear differential operators in the Hilbert spaceSobolev spaces of minimal order

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) General theory of ordinary differential operators (47E05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Linear boundary value problems for ordinary differential equations (34B05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

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Positive self-adjoint operators generated by products of differential expressions ⋮ The spectral theory of second order two-point differential operators. IV: The associated projections and the subspace \(S_ \infty(L)\) ⋮ The positive and negative deficiency indices of formally self-adjoint difference equations ⋮ Spectral representation of the resolvent of a discrete operator ⋮ Ascent, descent and essential quasi-Fredholm spectrum ⋮ Spectral decomposition of a Hilbert space by a Fredholm operator ⋮ Non self-adjoint quasi-differential operators with discrete spectra ⋮ The spectral theory of second order two-point differential operators: I. A priori estimates for the eigenvalues and completeness ⋮ Spectral theory for a differential operator: Characteristic determinant and Green's function ⋮ Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties ⋮ Multipoint boundary value problems for nonlinear ordinary differential equations ⋮ Galerkin's method for ordinary differential equations subject to generalized nonlinear boundary conditions ⋮ Criteria for the metric generalized inverse and its selections in Banach spaces ⋮ On the convergence of Hill’s method

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