Periodic Solutions of a Piecewise Linear Beam Equation with Damping and Nonconstant Load

Date

2002-09-29

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. <i>Electronic Journal of Differential Equations, 2002</i>(81), pp. 1-12.

Rights

Attribution 4.0 International

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