Second-order -point eigenvalue problems on time scales.
Self-adjoint differential vector-operators and matrix Hilbert spaces I
In the current work a generalization of the famous Weyl-Kodaira inversion formulas for the case of self-adjoint differential vector-operators is proved. A formula for spectral resolutions over an analytical defining set of solutions is discussed. The article is the first part of the planned two-part survey on the structural spectral theory of self-adjoint differential vector-operators in matrix Hilbert spaces.
Similarities of discrete and continuous Sturm-Liouville problems.
Some spectral properties of one Sturm-Liouville type problem with discontinuous weight.
Spectral analysis for differential operators with singularities.
Spectral concentration in Sturm-Liouville equations with large negative potential.
Spectral singularities of Sturm-Liouville problems with eigenvalue-dependent boundary conditions.
Spectrum of a differential operator with periodic generalized potential.
Spectrum of linear difference operators and the solvability of nonlinear discrete problems.