Geodesic
The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator
Journal of computational and engineering mathematics, Tome 2 (2015) no. 4, pp. 95-99.

Voir la notice de l'article provenant de la source Math-Net.Ru

Inverse spectral problems have many applications in engineering and physics. It was investigated for a variety of tasks specific operators. In this article explores the inverse spectral problem for abstract discrete self-adjoint semi-bounded from below operator. Using the resolvent method and principle of the contraction mapping theorem of the existence of the inverse problem solution is proved.
Keywords: perturbed operator, discrete self-adjoint operator, potential. 
@article{JCEM_2015_2_4_a9,
     author = {G. A. Zakirova and E. V. Kirillov},
     title = {The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator},
     journal = {Journal of computational and engineering mathematics},
     pages = {95--99},
     publisher = {mathdoc},
     volume = {2},
     number = {4},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2015_2_4_a9/}
}
TY  - JOUR
AU  - G. A. Zakirova
AU  - E. V. Kirillov
TI  - The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator
JO  - Journal of computational and engineering mathematics
PY  - 2015
SP  - 95
EP  - 99
VL  - 2
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCEM_2015_2_4_a9/
LA  - en
ID  - JCEM_2015_2_4_a9
ER  - 
%0 Journal Article
%A G. A. Zakirova
%A E. V. Kirillov
%T The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator
%J Journal of computational and engineering mathematics
%D 2015
%P 95-99
%V 2
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCEM_2015_2_4_a9/
%G en
%F JCEM_2015_2_4_a9
G. A. Zakirova; E. V. Kirillov. The existence of solution of the inverse spectral problem for discrete self-adjoint semi-bounded from below operator. Journal of computational and engineering mathematics, Tome 2 (2015) no. 4, pp. 95-99. http://geodesic.mathdoc.fr/item/JCEM_2015_2_4_a9/

[1] S. I. Kadchenko, “Numerical Method for the Solution of Inverse Problems Generated by Perturbations of Self-Adjoint Operators by Method of Regularized Traces”, Vestnik of Samara State University, 2013, no. 6 (107), 23–30

[2] S. I. Kadchenko, “A Numerical Method for Solving Inverse Problems Generated by the Perturbed Self-Adjoint Operators”, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 6:4 (2013), 15–25 | Zbl

[3] S. I. Kadchenko, “Solution of Inverse Spectral Problems Generated by the Perturbed Self-Adjoint Operators by Method of Regularized Traces”, Vestnik MaGU. Mathematics, 15 (2013), 34–43

[4] S. I. Kadchenko, “Numerical Method for Solving Inverse Spectral Problems Generated by Perturbed Self-Adjoint Operators”, Vestnik of Samara State University, 2013, no. 9-1(110), 5–11 | Zbl

[5] G. A. Zakirova, A. I. Sedov, “An Inverse Spectral Problem for Laplace Operator and it's Approximate Solution”, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2:27 (127) (2008), 19–27 | Zbl

[6] G. A. Zakirova, A. I. Sedov, “An Inverse Problem for the Laplace Operator in the Isosceles Rectangular Triangle”, Vestnik of Samara State University, 2008, no. 2, 34–42 | MR | Zbl