N. F. Valeev, “The multiparameter inverse spectral problems for finite-dimensional operators”, Ufa Math. J., 2:2 (2010)

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Ufimskii Matematicheskii Zhurnal, 2010, Volume 2, Issue 2, Pages 3–19 (Mi ufa47)

This article is cited in 16 scientific papers (total in 16 papers)

The multiparameter inverse spectral problems for finite-dimensional operators

N. F. Valeev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia

Full-text PDF (489 kB) Citations (16)

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Abstract: The problem of restoration of the parameters of the linear operator from a finite set of eigenvalues was considered. A new scheme of its solution proposed. This method for solving the joint eigenpair problem of a family of matrix pencils is then presented, wich, in turn, gives all solution of the problem.

Keywords: dynamic systems, inverse spectral problem, control of fundamental frequencies, mathematical model.

Received: 05.05.2010

Bibliographic databases:

Document Type: Article

UDC: 517.4+519.71

Language: Russian

Citation: N. F. Valeev, “The multiparameter inverse spectral problems for finite-dimensional operators”, Ufa Math. J., 2:2 (2010)

Citation in format AMSBIB

\Bibitem{Val10}

\by N.~F.~Valeev

\paper The multiparameter inverse spectral problems for finite-dimensional operators

\jour Ufa Math. J.

\yr 2010

\vol 2

\issue 2

\mathnet{http://mi.mathnet.ru/eng/ufa47}

\zmath{https://zbmath.org/?q=an:1230.47039}

\elib{https://elibrary.ru/item.asp?id=15253174}

Linking options:

https://www.mathnet.ru/eng/ufa47

https://www.mathnet.ru/eng/ufa/v2/i2/p3

This publication is cited in the following 16 articles:

Valeev N.F. Nazirova E.A. Azizova R.G., “Multiparameter Inverse Spectral Problems in the Oscillation Model of An Orthotropic Plate”, Azerbaijan J. Math., 9:2 (2019), 88–99
N. F. Valeev, È. A. Nazirova, “Direct and Inverse Spectral Problems in the Theory of Oscillations of Elastic Plates with Additional Point Interactions”, J. Math. Sci. (N. Y.), 252:2 (2021), 147–155
L. Accardi, I. V. Volovich, S. V. Kozyrev, “A new algebra in the stochastic approximation for the model of a particle interacting with a quantum field”, Theoret. and Math. Phys., 116:3 (1998), 1050–1062
K. A. Sveshnikov, “Finite-difference effects in quantum field theory and quantization of classical solutions”, Theoret. and Math. Phys., 82:1 (1990), 37–45
K. A. Sveshnikov, P. K. Silaev, O. A. Khrustalev, “Quantization of the gravitational field in the neighborhood of the Schwarzschild solution in the relativistic theory of gravitation”, Theoret. and Math. Phys., 80:2 (1989), 790–804
K. A. Sveshnikov, “Quantium dynamics of an extended object in Bogolyubov's group variables”, Theoret. and Math. Phys., 74:3 (1988), 251–264
K. A. Sveshnikov, “Quantization in the neighborhood of a classical solution in the theory of a Fermi field”, Theoret. and Math. Phys., 75:2 (1988), 482–487
K. A. Sveshnikov, “Aspects of perturbation theory in the neighborhood of a classical particle-like solution”, Theoret. and Math. Phys., 76:3 (1988), 911–919
A. P. Isaev, “Fermionic string model in spaces of Lie groups”, Theoret. and Math. Phys., 71:3 (1987), 616–626
N. N. Bogolyubov (Jr.), A. N. Kireev, A. M. Kurbatov, “Method of time-ordered products in polaron theory”, Theoret. and Math. Phys., 67:1 (1986), 394–403
V. B. Tverskoi, “Heisenberg fields in the neighborhood of a classical solution”, Theoret. and Math. Phys., 68:3 (1986), 866–873
V. G. Bornyakov, O. D. Timofeevskaya, “Bogolyubov transformation in the Lee model”, Theoret. and Math. Phys., 55:2 (1983), 451–458
K. A. Sveshnikov, “Covariant perturbation theory in the neighborhood of a classical solution”, Theoret. and Math. Phys., 55:3 (1983), 553–568
S. N. Gorshkov, C. Rodriguez, V. K. Fedyanin, “Calculation of polaron conductivity by functional integration”, Theoret. and Math. Phys., 56:3 (1983), 946–951
A. V. Razumov, A. Yu. Taranov, “Collective coordinates on symplectic manifolds”, Theoret. and Math. Phys., 52:1 (1982), 641–647
V. G. Budanov, “Particle in a self-consistent field some exact solutions”, Theoret. and Math. Phys., 49:2 (1981), 979–986

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	734
Full-text PDF :	233
References:	83
First page:	2

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