Yayınlanmış 1 Ocak 2013
| Sürüm v1
Dergi makalesi
Açık
Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
Oluşturanlar
- 1. Mersin Univ, Sci & Letters Fac, Dept Math, TR-33343 Mersin, Turkey
Açıklama
This work aims to examine a Sturm-Liouville operator with a piece-wise continuous coefficient and a spectral parameter in boundary condition. The orthogonality of the eigenfunctions, realness and simplicity of the eigenvalues are investigated. The asymptotic formula of the eigenvalues is found, and the resolvent operator is constructed. It is shown that the eigenfunctions form a complete system and the expansion formula with respect to eigenfunctions is obtained. Also, the evolution of the Weyl solution and Weyl function is discussed. Uniqueness theorems for the solution of the inverse problem with Weyl function and spectral data are proved.
Dosyalar
bib-1eeef8cf-fedb-4ff4-82a6-7342f51c6f47.txt
Dosyalar
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