We describe a new algorithm to compute the eigenvalues of singular Sturm-Liouville problems with separated self-adjoint boundary conditions for both the limit-circle nonoscillatory and oscillatoryâ€¦ (More)

Given any self-adjoint realization S of a singular Sturm-Liouville (S-L) problem, it is possible to construct a sequence {Sr} of regular S-L problems with the properties (i) every point of theâ€¦ (More)

Complex symplectic spaces, and their Lagrangian subspaces, are defined in accord with motivations from Lagrangian classical dynamics and from linear ordinary differential operators; and then theirâ€¦ (More)

This paper presents a review and summary of recent research on the boundary value problems for linear ordinary and partial differential equations, with special attention to the investigations of theâ€¦ (More)

This survey paper reports on the properties of the fourth-order Bessel-type linear ordinary differential equation, on the generated self-adjoint differential operators in two associated Hilbertâ€¦ (More)

The generalized Sturm-Liouville problems in this paper stem from the ideas of Christ Shubin and Stolz, based on introducing singularities at a countable number of regular points on the real line.â€¦ (More)

This note reports on the recent advancements in the search for explicit representation , in classical special functions, of the solutions of the fourth-order linear ordinary differential equationsâ€¦ (More)

The structured higher-order Bessel-type linear ordinary differential equationswere first discovered in 1994. There is a denumerable infinity of these higher-order equations, all of then ofâ€¦ (More)