|
This article is cited in 11 scientific papers (total in 11 papers)
Solution of the Inverse Quasiperiodic Problem for the Dirac System
I. M. Nabievab a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Abstract:
We present a complete solution of the inverse problem of spectral analysis for the Dirac operator with quasiperiodic boundary conditions. We prove a uniqueness theorem for the solution of the inverse problem and obtain necessary and sufficient conditions for a sequence of real numbers to be the spectrum of a quasiperiodic Dirac problem.
Keywords:
inverse spectral problem, Dirac operator, quasiperiodic Dirac problem, Lyapunov function, boundary-value problem, spectral data, Bernstein's inequality.
Received: 02.12.2009 Revised: 13.05.2010
Citation:
I. M. Nabiev, “Solution of the Inverse Quasiperiodic Problem for the Dirac System”, Mat. Zametki, 89:6 (2011), 885–893; Math. Notes, 89:6 (2011), 845–852
Linking options:
https://www.mathnet.ru/eng/mzm8657https://doi.org/10.4213/mzm8657 https://www.mathnet.ru/eng/mzm/v89/i6/p885
|
Statistics & downloads: |
Abstract page: | 441 | Full-text PDF : | 201 | References: | 50 | First page: | 17 |
|