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Periodic solutions of a nonlinear suspension bridge equation with damping and nonconstant load |
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| Authors: | Yukun An Chenkui Zhong |
| Affiliation: | a College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, PR China b Department of Mathematics, Lanzhou University, Lanzhou 730000, PR China c Department of Mathematics, Suzhou University, Suzhou 215006, PR China |
| Abstract: | The paper is concerned with the existence of periodic solutions for the Lazer-McKenna suspension bridge equation with damping and nonconstant load. By using the Lyapunov-Schmidt reduction methods, the author discuss the relationship between the sign-changing solutions and the source terms. The result answers partly the open problem in Lazer and McKenna (SIAM Rev. 32 (1990) 537-578). |
| Keywords: | Suspension bridge equation Damping Lyapunov-Schmidt reduction Sign-changing periodic solution |
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