Inverse problem for a quadratic pencil of Sturm–Liouville operator
✍ Scribed by Hikmet Koyunbakan
- Book ID
- 108178873
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 129 KB
- Volume
- 378
- Category
- Article
- ISSN
- 0022-247X
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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
The following problem is considered: where λ is a spectral parameter. The inverse problem is studied: a subsequence λ n → +∞ of the sequence of eigenvalues is given and odd f is the unknown quantity. A description of the whole class of solutions of this problem is obtained. In addition, it is prove