Geodesic
Periodic solutions of a piecewise linear beam equation damping and nonconstant load
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {An, Yukun},
     title = {Periodic solutions of a piecewise linear beam equation damping and nonconstant load},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a130/}
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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/