Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 152, Pages 25–33 (Mi into348)  
Direct and Inverse Spectral Problems in the Theory of Oscillations of Elastic Plates with Additional Point Interactions

N. F. Valeeva, È. A. Nazirovab

a Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
b Bashkir State University, Ufa
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Abstract: This paper is devoted to a new statement and the study of direct and inverse spectral problems for small linear oscillations of orthotropic plates that carry concentrated masses at a finite set of points, which, in turn, are connected to a stationary base by elastic springs with known stiffness coefficients.
Keywords: inverse spectral problems, differential operators with distribution coefficients, theory of oscillations of elastic plates and shells.
Funding agency Grant number
Russian Foundation for Basic Research 17-41-020195_р_а
15-01-01095_а
This work was partially supported by the Russian Foundation for Basic Research (project Nos. 17-41-020195p_a and 15-01-01095A.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 2, Pages 147–155
DOI: https://doi.org/10.1007/s10958-020-05149-6
Bibliographic databases:
Document Type: Article
UDC: 517.4; 519.71
MSC: 47E05, 34E05, 34L05
Language: Russian
Citation: N. F. Valeev, È. A. Nazirova, “Direct and Inverse Spectral Problems in the Theory of Oscillations of Elastic Plates with Additional Point Interactions”, Mathematical physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 152, VINITI, Moscow, 2018, 25–33; J. Math. Sci. (N. Y.), 252:2 (2021), 147–155
Citation in format AMSBIB
\Bibitem{ValNaz18}
\by N.~F.~Valeev, \`E.~A.~Nazirova
\paper Direct and Inverse Spectral Problems in the Theory of Oscillations of Elastic Plates with Additional Point Interactions
\inbook Mathematical physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 152
\pages 25--33
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into348}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903375}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 2
\pages 147--155
\crossref{https://doi.org/10.1007/s10958-020-05149-6}
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