Geodesic
Periodic solutions of a piecewise linear beam equation damping and nonconstant load
Electronic journal of differential equations, Tome 2002 (2002)
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].
Classification : 35L30, 35B34
Keywords: piecewise linear beam equation, damping, periodic solution, Lyapunov-Schmidt reduction 
@article{EJDE_2002__2002__a130,
     author = {An,  Yukun},
     title = {Periodic solutions of a piecewise linear beam equation damping and nonconstant load},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1015.35061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a130/}
}
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%A An,  Yukun
%T Periodic solutions of a piecewise linear beam equation damping and nonconstant load
%J Electronic journal of differential equations
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An,  Yukun. Periodic solutions of a piecewise linear beam equation damping and nonconstant load. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a130/