Multiple periodic solutions for a nonlinear suspension bridge equation |
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Authors: | Humphreys LD; McKenna PJ |
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Institution: |
Rhode Island College, Providence, Rhode Island 02908, USA A1 University of Connecticut, Storrs, CT 060268, USA
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Abstract: | We investigate nonlinear oscillations in a fourth-order partialdifferential equation which models a suspension bridge. Previouswork establishes multiple periodic solutions when a parameterexceeds a certain eigenvalue. In this paper, we use Leray-Schauderdegree theory to prove that if the parameter is increased further,beyond a second eigenvalue, then additional solutions are created. |
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