Constructions of eigenfunctions for the Sturm-Liouville operator by comparison method

Properties of Sturm-Liouville Eigenfunctions and Eigenvalues

On Generalization of Sturm-Liouville Theory for Fractional Bessel Operator

In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal. In this paper, we give the spectral theory for eigenvalues and eigenfunctions...

On Super - Liouville Operator Constructions

We review the construction of field operators of the N=1 supersymmetric Liouville theory in terms of the components of a quantized free superfield.

Sturm-liouville Operator with General Boundary Conditions

We classify the general linear boundary conditions involving u′′, u′ and u on the boundary {a, b} so that a Sturm-Liouville operator on [a, b] has a unique self-adjoint extension on a suitable Hilbert space.

Sturm-Liouville operator controlled by sectional curvature on Riemannian manifolds

The purpose of this paper is fourfold: (1) to introduce and study a second order PDE, determined accidentally by a Riemann wave, reflecting the connection between oriented parallelograms area and sectional curvature on Riemannian manifolds; (2) to introduce and study the asymptotic behavior of oriented parallelograms area controlled by the sectional curvature; (3) to study some partial differen...