Using the Lyapunov-Schmidt reduction method, the authors discuss the existence and multiplicity of periodic solutions for a piecewise linear beam equation with damping and nonconstant load when the nonlinearities cross the eigenvalues. The result answers partially an open question possed by Lazer and McKenna .
Submitted October 02, 2001. Published September 29, 2002.
Math Subject Classifications: 35L30, 35B34.
Key Words: Piecewise linear beam equation, Damping, Periodic solution, Lyapunov-Schmidt reduction.
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|Yukun An |
College of Mathematics and Information Science
Northwest Normal University
Lanzhou, 730070, Gansu, China
Department of Mathematics, Suzhou University
Suzhou, 215006, Jiangsu, China
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