Title:
|
Jumping nonlinearities and mathematical models of suspension bridge (English) |
Author:
|
Drábek, Pavel |
Language:
|
English |
Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
ISSN:
|
1211-4774 |
Volume:
|
2 |
Issue:
|
1 |
Year:
|
1994 |
Pages:
|
9-18 |
. |
Category:
|
math |
. |
MSC:
|
34B15 |
MSC:
|
35B10 |
MSC:
|
35L75 |
MSC:
|
35Q72 |
MSC:
|
47H15 |
MSC:
|
47N20 |
MSC:
|
70K30 |
MSC:
|
73K05 |
MSC:
|
74K10 |
idZBL:
|
Zbl 0867.35006 |
idMR:
|
MR1309060 |
. |
Date available:
|
2009-01-30T09:01:10Z |
Last updated:
|
2013-10-22 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120480 |
. |
Reference:
|
[1] Berkovits J., Mustonen V.: Existence and multiplicity results for semilinear beam equations.Preprint Univ. of Oulu, 1991. Zbl 0811.35014, MR 1468743 |
Reference:
|
[2] Beгkovits J., Drábek P., Mustonen V.: HASH(0x1fb9708).In pгeparation. |
Reference:
|
[3] Drábek: Nonlinear noncoercive equations and applications.Z. Anal. Anwendungen 1 (5) (1983), 53-65. MR 0720043 |
Reference:
|
[4] Fonda A., Schneider Z., Zanolin F.: Periodic oscillations for a nonlinear suspension bridge model.Prepublication Inst. Mat. Pure Appliq., Univ. Catol. Louvain, 1992. |
Reference:
|
[5] Fučík S.: Nonlinear noncoercive problems.Conf. del Seminario di Mat. Univ. Bari (S.A.F.A. III), Bari (1978), 301-353. MR 0585118 |
Reference:
|
[6] Glover J., Lazer A. C., Mc Kenna P. J.: Existence and stability of large scale nonlinear oscillations in suspension bridges.J. Appl. Matһ. Phys. (ZAMP) 40 (1989), 172-200. MR 0990626, 10.1007/BF00944997 |
Reference:
|
[7] Krejčí P.: On solvability of equations of the 4th order with jumping nonlinearities.Čas. pěst. mat. 108 (1983), 29-39. MR 0694138 |
Reference:
|
[8] Lazer A. C, McKenna P. J.: Large scale oscillatory behaviour in loaded asymmetric systems.Ann. Inst. Henгi Poincaré, Analyse non linéaire 4 (1987), 244-274. Zbl 0633.34037, MR 0898049 |
Reference:
|
[9] Lazer A. C, McKenna P. J.: Existence, uniqueness, and stability of oscilations in differential equations with asymmetric nonlinearities.Trans. Amer. Math. Society 315 2 (1989), 721-739. MR 0979963, 10.1090/S0002-9947-1989-0979963-1 |
Reference:
|
[10] Lazer A. J., McKenna P. J.: Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis.SIAMS Review 32 (4), 1990, 537-578. Zbl 0725.73057, MR 1084570, 10.1137/1032120 |
Reference:
|
[11] McKenna P. J., Walter W.: Nonlinear oscillations in a suspension bridge.Arcһ. Rational Mech. Anal. 98 (1987), 167-177. Zbl 0676.35003, MR 0866720 |
Reference:
|
[12] Vejvoda O., et al.: Partial Differential Equations-time periodic solutions.Sijthoff Nordhoff, The Netherlands, 1981. |
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