Periodically forced damped beams resting on nonlinear elastic bearings
Mathematica Slovaca (2005)
- Volume: 55, Issue: 2, page 217-235
- ISSN: 0232-0525
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topFečkan, Michal. "Periodically forced damped beams resting on nonlinear elastic bearings." Mathematica Slovaca 55.2 (2005): 217-235. <http://eudml.org/doc/31649>.
@article{Fečkan2005,
author = {Fečkan, Michal},
journal = {Mathematica Slovaca},
keywords = {beam equation; periodic solutions; Leray-Schauder degree},
language = {eng},
number = {2},
pages = {217-235},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Periodically forced damped beams resting on nonlinear elastic bearings},
url = {http://eudml.org/doc/31649},
volume = {55},
year = {2005},
}
TY - JOUR
AU - Fečkan, Michal
TI - Periodically forced damped beams resting on nonlinear elastic bearings
JO - Mathematica Slovaca
PY - 2005
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 55
IS - 2
SP - 217
EP - 235
LA - eng
KW - beam equation; periodic solutions; Leray-Schauder degree
UR - http://eudml.org/doc/31649
ER -
References
top- BATTELLI F.-FEČKAN M., Homoclinic orbits of slowly periodically forced and weakly damped beams resting on weakly elastic bearings, Adv. Differential Equations 8 (2003), 1043-1080. Zbl1036.35019MR1989289
- BATTELLI F.-FEČKAN M., Chaos in the beam equation, J. Differential Equations 209 (2005), 172-227. Zbl1082.35019MR2107472
- FEČKAN M., Free vibrations of beams on bearings with nonlinear elastic responses, J. Differential Equations 154 (1999), 55-72. (1999) Zbl0927.35071MR1685646
- FEIREISEL E., Nonzero time periodic solutions to an equation of Petrovsky type with nonlinear boundary conditions: Slow oscillations of beams on elastic bearings, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 20 (1993), 133-146. (1993) MR1216001
- MAWHIN J., Topological Degree Methods in Nonlinear Boundary Value Problems, Reg. Conf. Ser. Math. 40, Amer. Math. Soc, Providence, RI, 1979. (1979) Zbl0414.34025MR0525202
- STRIZHAK T. G., The Asymptotic Method of Normalization, Golov. Izd. Izd. Ob"ed. "Vishcha Shkola", Kiev, 1984. (Russian) (1984) Zbl0539.34002MR0774591
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