Periodic Solutions of a Piecewise Linear Beam Equation with Damping and Nonconstant Load
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Date
9/29/2002
Authors
An, Yukun
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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].
Description
Keywords
Piecewise linear beam equation, Damping, Periodic solution, Lyapunov-Schmidt reduction
Citation
An, Y. (2002). Periodic solutions of a piecewise linear beam equation with damping and nonconstant load. Electronic Journal of Differential Equations, 2002(81), pp. 1-12.
Rights
Attribution 4.0 International