College of Mathematics and Information Science
Northwest Normal University
Lanzhou, 730070, Gansu, China
and
Department of Mathematics, Suzhou University
Suzhou, 215006, Jiangsu, China
e-mail:anyk@nwnu.edu.cn
Yukun An
Abstract:
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 [12].
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 and Department of Mathematics, Suzhou University Suzhou, 215006, Jiangsu, China e-mail:anyk@nwnu.edu.cn |
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