On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length

@article{Feireisl1988,
abstract = {The author examined non-zero $T$-periodic (in time) solutions for a semilinear beam equation under the condition that the period $T$ is an irrational multiple of the length. It is shown that for a.e. $T \in R^1$ (in the sense of the Lebesgue measure on $R^1$) the solutions do exist provided the right-hand side of the equation is sublinear.},
author = {Feireisl, Eduard},
journal = {Aplikace matematiky},
keywords = {nonuniqueness; time-periodical solutions; semilinear equation; irrational periods; dual variational method; nonuniqueness; time-periodical solutions},
language = {eng},
number = {2},
pages = {94-102},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length},
url = {http://eudml.org/doc/15527},
volume = {33},
year = {1988},
}

TY - JOUR
AU - Feireisl, Eduard
TI - On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length
JO - Aplikace matematiky
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 2
SP - 94
EP - 102
AB - The author examined non-zero $T$-periodic (in time) solutions for a semilinear beam equation under the condition that the period $T$ is an irrational multiple of the length. It is shown that for a.e. $T \in R^1$ (in the sense of the Lebesgue measure on $R^1$) the solutions do exist provided the right-hand side of the equation is sublinear.
LA - eng
KW - nonuniqueness; time-periodical solutions; semilinear equation; irrational periods; dual variational method; nonuniqueness; time-periodical solutions
UR - http://eudml.org/doc/15527
ER -