Alam'aet--In this paper we consider three examples of discontinuous Sturm-Liouville problems with symmetric potentials. The ¢igcnvalues of the systems were determined using the classical fourth order Runge--Kutta method. These eigenvalues are used to reconstruct the potential function using an algor
Sturm–Liouville problems with discontinuities at two points
✍ Scribed by M. Kadakal; O.Sh. Mukhtarov
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 269 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
In this paper we extend some spectral properties of regular Sturm-Liouville problems to those which consist of a Sturm-Liouville equation with piecewise continuous potentials together with eigenparameter-dependent boundary conditions and four supplementary transmission conditions. By modifying some techniques of [C.T. Fulton, Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions, Proc.
📜 SIMILAR VOLUMES
For every positive integer n, we construct a class of regular self-adjoint and nonself-adjoint Sturm-Liouville problems with exactly n eigenvalues. These n eigenvalues can be located anywhere in the complex plane in the non-self-adjoint case and anywhere along the real line in the self-adjoint case.
In this work, we study the inverse problem for the Sturm-Liouville operator -D 2 + q with discontinuity boundary conditions inside a finite closed interval. Using spectral data of a kind, it is shown that the potential function q(x) can be uniquely determined by a set of values of eigenfunctions at