Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 20, Tome 186 (1990), pp. 37-49
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M. I. Belishev; T. L. Sheronova. The methods of the boundary control theory in inverse problem for unhomogeneous string. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 20, Tome 186 (1990), pp. 37-49. http://geodesic.mathdoc.fr/item/ZNSL_1990_186_a4/
@article{ZNSL_1990_186_a4,
author = {M. I. Belishev and T. L. Sheronova},
title = {The methods of the boundary control theory in inverse problem for unhomogeneous string},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {37--49},
year = {1990},
volume = {186},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1990_186_a4/}
}
TY - JOUR
AU - M. I. Belishev
AU - T. L. Sheronova
TI - The methods of the boundary control theory in inverse problem for unhomogeneous string
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1990
SP - 37
EP - 49
VL - 186
UR - http://geodesic.mathdoc.fr/item/ZNSL_1990_186_a4/
LA - ru
ID - ZNSL_1990_186_a4
ER -
%0 Journal Article
%A M. I. Belishev
%A T. L. Sheronova
%T The methods of the boundary control theory in inverse problem for unhomogeneous string
%J Zapiski Nauchnykh Seminarov POMI
%D 1990
%P 37-49
%V 186
%U http://geodesic.mathdoc.fr/item/ZNSL_1990_186_a4/
%G ru
%F ZNSL_1990_186_a4
An approach connected with boundary control theory is developed. The authors propose the new procedure to recover the density of a unhomogeneous string. The inverse data is a vibration of the free end of the string, initiated by the instantaneous force impulse. The results of numerical experiments are discussed.
