[1] J. M. Ball:
Initial-boundary value problems for an extensible beam. J. Math. Anal. Appl. 42 (1973), 61–90.
MR 0319440 |
Zbl 0254.73042
[2] Q. H. Choi, T. Jung:
On periodic solutions of the nonlinear suspension bridge equation. Differ. Integral Equ. 4 (1991), 383–396.
MR 1081189
[3] P. Drábek:
Jumping nonlinearities and mathematical models of suspension bridges. Acta Math. et Inf. Univ. Ostraviensis 2 (1994), 9–18.
MR 1309060
[4] P. Drábek, H. Leinfelder, and G. Tajčová:
Coupled string-beam equations as a model of suspension bridges. Appl. Math. 44 (1999), 97–142.
MR 1667633
[5] N. Krylová:
Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term. Czechoslovak Math. J. 20(95) (1970), 375–405.
MR 0283358
[6] A. C. Lazer, P. J. McKenna:
Large amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis. SIAM Rev. 32 (1990), 537–578.
MR 1084570
[7] P. J. McKenna, W. Walter:
Nonlinear oscillations in a suspension bridge. Arch. Ration. Mech. Anal. 98 (1987), 167–177.
MR 0866720
[8] P. J. McKenna, W. Walter:
Travelling waves in a suspension bridge. SIAM J. Appl. Math. 50 (1990), 703–715.
MR 1050908
[9] L. Sanchez:
Periodic solutions of a nonlinear evolution equation with a linear dissipative term. Rend. Sem. Mat. Univ. Politec. Torino 37 (1980), 183–191.
MR 0608937 |
Zbl 0459.35009
[10] G. Tajčová:
Mathematical models of suspension bridges. Appl. Math. 42 (1997), 451–480.
MR 1475052
[11] E. Zeidler: Nonlinear Functional Analysis and Its Applications, Vol. I–III. Springer-Verlag, New York, 1985–1990.