|
This article is cited in 5 scientific papers (total in 5 papers)
Determination of the infinite Jacobi matrix with respect to two-spectra
G. Sh. Guseinov Scientific-Research Computer Center of the Azerbaidzhan State University
Abstract:
The inverse problem about two-spectra for the equation
\begin{gather*}
b_0y_0+a_0y_1=\lambda y_0,\\
a_{n-1}y_{n-1}+b_ny_n+a_ny_{n+1}=\lambda y_n\qquad (n=1,2,3,\dots),\tag{1}
\end{gather*}
where $\{y_n\}_0^\infty$ is the desired solution, $\lambda$ is a complex parameter and
$$
a_n>0, \quad\mathrm{Im}\,b_n=0,\qquad (n=0,1,2,\dots)
$$
is studied. Necessary and sufficient conditions for the solvability of the inverse problem
about two-spectra for Eq. (1) are established and also the procedure of reconstruction of the equation from its two-spectra is indicated.
Received: 23.04.1977
Citation:
G. Sh. Guseinov, “Determination of the infinite Jacobi matrix with respect to two-spectra”, Mat. Zametki, 23:5 (1978), 709–720; Math. Notes, 23:5 (1978), 391–398
Linking options:
https://www.mathnet.ru/eng/mzm9999 https://www.mathnet.ru/eng/mzm/v23/i5/p709
|
Statistics & downloads: |
Abstract page: | 411 | Full-text PDF : | 104 | First page: | 1 |
|