In this paper, we are concerned with the
existence and multiplicity of no-node solutions of the Lazer-McKenna suspension
bridge models by using the fixed point theorem in a cone.
References
[1]
Lazer, A.C. and McKenna, P.J. (1990) Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis. Siam Review, 32, 537-578. http://dx.doi.org/10.1137/1032120
[2]
Wang, H. (2009) Periodic Solutions to Non-Autonomous Second-Order Systems. Nonlinear Analysis: Theory, Methods & Applications, 71, 1271-1275. http://dx.doi.org/10.1016/j.na.2008.11.079
[3]
Dajun, G. and Lakshmikantham, V. (1988) Nonlinear Problems in Abstract Cones.
[4]
Chu, J., Fan, N. and Torres, P.J. (2012) Periodic Solutions for Second Order Singular Damped Differential Equations. Journal of Mathematical Analysis and Applications, 388, 665-675. http://dx.doi.org/10.1016/j.jmaa.2011.09.061