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 Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.: Year: Volume: Issue: Page: Find

 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_ð_à15-01-01095_à 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} `