Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 152, Pages 25–33
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
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.
inverse spectral problems, differential operators with distribution coefficients, theory of oscillations of elastic plates and shells
|Russian Foundation for Basic Research
|This work was partially supported by the Russian Foundation for Basic Research (project Nos. 17-41-020195p_a and 15-01-01095A.
PDF file (196 kB)
MSC: 47E05, 34E05, 34L05
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
\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.
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|