Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties
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Publication:919506
DOI10.1016/0022-247X(89)90196-0zbMath0707.34015MaRDI QIDQ919506
Publication date: 1989
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations (34B05)
Related Items (24)
On stability of basis property of root vectors system of the Sturm-Liouville operator with an integral perturbation of conditions in nonstrongly regular Samarskii-Ionkin type problems ⋮ Resolvent growth and Birkhoff-regularity ⋮ The spectral theory of second order two-point differential operators. IV: The associated projections and the subspace \(S_ \infty(L)\) ⋮ Spectral representation of the resolvent of a discrete operator ⋮ Spectral decomposition of a Hilbert space by a Fredholm operator ⋮ The inverse problem of recovering the coefficients of a differential equations on a graph ⋮ Degenerate boundary conditions for the diffusion operator on a geometric graph ⋮ 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 ⋮ On summability of spectral expansions corresponding to the Sturm-Liouville operator ⋮ Nonexistence of degenerate boundary conditions in a spectral problem ⋮ Eigenfunction expansions for the nonspectral differential operators determined by \(-D^ 2\) ⋮ Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems ⋮ Finiteness of the spectrum of boundary value problems ⋮ Degenerate boundary conditions for a third-order differential equation ⋮ The finiteness of the spectrum of boundary value problems defined on a geometric graph ⋮ On the Finite Spectrum of Three-Point Boundary Value Problems ⋮ Spectral theory of two-point differential operators determined by \(-D^ 2\). II: Analysis of cases ⋮ On a new method for solving irregular problems ⋮ The spectral theory of second order two-point differential operators. III: The eigenvalues and their asymptotic formulas ⋮ Degenerate boundary conditions for the Sturm-Liouville problem on a geometric graph ⋮ Denseness of the generalized eigenvectors of an H-S discrete operator ⋮ On degenerate boundary conditions and finiteness of the spectrum of boundary value problems ⋮ The nonspectral Birkhoff-regular differential operators determined by \(- D^ 2\)
Cites Work
- Spectral theory for a differential operator: Characteristic determinant and Green's function
- Spectral decomposition of a Hilbert space by a Fredholm operator
- Denseness of the generalized eigenvectors of an H-S discrete operator
- Shorter Notes: A Nonspectral Birkhoff-Regular Differential Operator
- Spectral theory for Fredholm operators
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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