On periodic solutions of a special type of the beam equation
Aplikace matematiky (1988)
- Volume: 33, Issue: 1, page 33-40
- ISSN: 0862-7940
Access Full Article
top
Abstract
topHow to cite
topŘeháček, Jan. "On periodic solutions of a special type of the beam equation." Aplikace matematiky 33.1 (1988): 33-40. <http://eudml.org/doc/15521>.
@article{Řeháček1988,
abstract = {The paper deals with the existence of time-periodic solutions to the beam equation, in which terms expressing torsion and damping are also considered. The existence of periodic solutions is proved in the cas of time-periodic outer forces by means of an apriori estimate and the Fourier method.},
author = {Řeháček, Jan},
journal = {Aplikace matematiky},
keywords = {existence; time-periodic solutions; a priori estimate; Fourier method; Brouwer’s theorem; truncated system; beam equation; existence; time-periodic solutions; a priori estimate; Fourier method; Brouwer's theorem; truncated system},
language = {eng},
number = {1},
pages = {33-40},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On periodic solutions of a special type of the beam equation},
url = {http://eudml.org/doc/15521},
volume = {33},
year = {1988},
}
TY - JOUR
AU - Řeháček, Jan
TI - On periodic solutions of a special type of the beam equation
JO - Aplikace matematiky
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 1
SP - 33
EP - 40
AB - The paper deals with the existence of time-periodic solutions to the beam equation, in which terms expressing torsion and damping are also considered. The existence of periodic solutions is proved in the cas of time-periodic outer forces by means of an apriori estimate and the Fourier method.
LA - eng
KW - existence; time-periodic solutions; a priori estimate; Fourier method; Brouwer’s theorem; truncated system; beam equation; existence; time-periodic solutions; a priori estimate; Fourier method; Brouwer's theorem; truncated system
UR - http://eudml.org/doc/15521
ER -
References
top- N. G. de Andrade, 10.1016/0022-247X(83)90097-5, Journal of Math. Anal. and Appl. 91 (1983), 119-130. (1983) MR0688537DOI10.1016/0022-247X(83)90097-5
- J. M. Ball, Initial Boundary Value Problems for an Extensible Beam, Journal of Math. Anal. and Appl. 42(1973), 61-90. (1973) Zbl0254.73042MR0319440
- J. Kurzweil, Ordinary Differential Equations, Elsevier, Amsterdam, 1986. (1986) Zbl0667.34002MR0929466
- S. P. Timošenko D. H. Young W. Weaver, Vibrations Problems in Engineering, New York 1974. (1974)
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.