## Abstract Singular boundary conditions are formulated for SturmβLiouville operators having singularities and turning points at the endβpoints of the interval. For boundaryβvalue problems with singular boundary conditions, inverse problems of spectral analysis are studied. We give formulations of
Inverse problem for a singular differential operator
β Scribed by H. Koyunbakan; E.S. Panakhov
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 207 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0895-7177
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β¦ Synopsis
In this paper, we give the solution of the inverse Sturm-Liouville problem on two partially coinciding spectra. In particular, in this case we obtain Hochstadt's theorem concerning the structure of the difference q(x) -q(x) for the singular Sturm Liouville problem defined on the finite interval (0, Ο) having the singularity type 1 4 sin 2 x at the points 0 and Ο.
π SIMILAR VOLUMES
In this paper we consider the inverse boundary value problem for the operator pencil A(\*)=a(x, D)&i\*b 0 (x)&\* 2 where a(x, D) is an elliptic second-order operator on a differentiable manifold M with boundary. The manifold M can be interpreted as a Riemannian manifold (M, g) where g is the metric