Geodesic
Direct and Inverse Spectral Problems in the Theory of Oscillations of Elastic Plates with Additional Point Interactions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical physics, Tome 152 (2018), pp. 25-33

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{INTO_2018_152_a2,
     author = {N. F. Valeev and \`E. A. Nazirova},
     title = {Direct and {Inverse} {Spectral} {Problems} in the {Theory} of {Oscillations} of {Elastic} {Plates} with {Additional} {Point} {Interactions}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {25--33},
     publisher = {mathdoc},
     volume = {152},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_152_a2/}
}
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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 tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical physics, Tome 152 (2018), pp. 25-33. http://geodesic.mathdoc.fr/item/INTO_2018_152_a2/