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On No-Node Solutions of the Lazer-McKenna Suspension Bridge Models

DOI: 10.4236/jamp.2015.37088, PP. 737-740

Keywords: Differential Equations, Periodic Solution, Cone, Fixed Point Theorem

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Abstract:

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
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[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

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