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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 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

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.


Full text: PDF file (196 kB)

Bibliographic databases:
UDC: 517.4; 519.71
MSC: 47E05, 34E05, 34L05

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. Ser. Sovrem. Mat. Pril. Temat. Obz., 152, VINITI, Moscow, 2018, 25–33

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. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 152
\pages 25--33
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into348}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3903375}


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