Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 233-242
Citer cet article
G. M. Sklyar; L. V. Fardigola. The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 233-242. http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a8/
@article{JMAG_2002_9_2_a8,
author = {G. M. Sklyar and L. V. Fardigola},
title = {The {Markov} trigonometric moment problem in controllability problems for the wave equation on a half-axis},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {233--242},
year = {2002},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a8/}
}
TY - JOUR
AU - G. M. Sklyar
AU - L. V. Fardigola
TI - The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2002
SP - 233
EP - 242
VL - 9
IS - 2
UR - http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a8/
LA - en
ID - JMAG_2002_9_2_a8
ER -
%0 Journal Article
%A G. M. Sklyar
%A L. V. Fardigola
%T The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2002
%P 233-242
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a8/
%G en
%F JMAG_2002_9_2_a8
In this paper necessary and sufficient conditions of null-controllability and approximate null-controllability are obtained for the wave equation on a half-axis. Controls solving these problems are found explicitly. Moreover bang-bang controls solving the approximate null-controllability problem are constructed with the aid of solutions of the Markov trigonometric moment problem.
