N. F. Valeev, È. A. Nazirova, “Direct and Inverse Spectral Problems in the Theory of Oscillations of Elastic Plates with Additional Point Interactions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 152,Pages <nobr>25

Direct and Inverse Spectral Problems in the Theory of Oscillations of Elastic Plates with Additional Point Interactions

N. F. Valeev^a, È. A. Nazirova^b

^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.

UDC: 517.4; 519.71

MSC: 47E05, 34E05, 34L05