Large scale oscillatory behaviour in loaded asymmetric systems

A. C. Lazer; P. J. McKenna

Annales de l'I.H.P. Analyse non linéaire (1987)

  • Volume: 4, Issue: 3, page 243-274
  • ISSN: 0294-1449

How to cite

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Lazer, A. C., and McKenna, P. J.. "Large scale oscillatory behaviour in loaded asymmetric systems." Annales de l'I.H.P. Analyse non linéaire 4.3 (1987): 243-274. <http://eudml.org/doc/78131>.

@article{Lazer1987,
author = {Lazer, A. C., McKenna, P. J.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {asymmetric nonlinear differential equations},
language = {eng},
number = {3},
pages = {243-274},
publisher = {Gauthier-Villars},
title = {Large scale oscillatory behaviour in loaded asymmetric systems},
url = {http://eudml.org/doc/78131},
volume = {4},
year = {1987},
}

TY - JOUR
AU - Lazer, A. C.
AU - McKenna, P. J.
TI - Large scale oscillatory behaviour in loaded asymmetric systems
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1987
PB - Gauthier-Villars
VL - 4
IS - 3
SP - 243
EP - 274
LA - eng
KW - asymmetric nonlinear differential equations
UR - http://eudml.org/doc/78131
ER -

References

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  1. [1] S.-N. Chow and J.K. Hale, Methods of Bifurcation Theory, Spring-Verlag, New York, Heidelberg, Berlin, 1982. Zbl0487.47039MR660633
  2. [2] M. Greenberg, Lectures on Algebraic Topology, Benjamin, N.Y., 1967. Zbl0169.54403MR215295
  3. [3] D. Hart, A.C. Lazer and P.J. McKenna, Multiple Solutions of Two Point Boundary Value Problems with Jumping Nonlinearities, J. Diff. Equations, Vol. 59, 1985, pp. 266-281. Zbl0576.34017MR804892
  4. [4] A.C. Lazer, Small Periodic Perturbations of a Class of Conservative Systems, J. Diff. Equations, Vol. 13, 1973, pp. 438-456. Zbl0287.34039MR361287
  5. [5] A.C. Lazer and P.J. Mckenna, On a Conjecture Related to the Number of Solutions of a Nonlinear Dirichlet Problem, Proc. Roy. Edin. Soc., Vol. 95A, 1983, pp. 275-283. Zbl0533.35037MR726879
  6. [6] W.S. Loud, Periodic Solutions of x''+cx'+g(x)=∈h(t), Mem. Am. Math. Soc., Vol. 31, 1959, p. 58. Zbl0085.30701MR107058
  7. [7] D. Hart, A.C. Lazer and P.J. Mckenna, Multiplicity of Solutions of Nonlinear Value Problems, S.I.A.M. J. Math. Anal., 17 (1986), 1332-1338. Zbl0615.34011MR860916
  8. [8] A. Vanderbauwhede, Local Bifurcation and Symmetry, Pitman, London, 1982. Zbl0539.58022MR697724

Citations in EuDML Documents

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  1. Pavel Drábek, Jumping nonlinearities and mathematical models of suspension bridge
  2. Pavel Drábek, Herbert Leinfelder, Gabriela Tajčová, Coupled string-beam equations as a model of suspension bridges
  3. Josef Malík, Mathematical modelling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems
  4. Josef Malík, Instability of oscillations in cable-stayed bridges
  5. Pavel Drábek, Gabriela Holubová, Aleš Matas, Petr Nečesal, Nonlinear models of suspension bridges: discussion of the results

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