Geodesic
Remark on Duffing equation with Dirichlet boundary condition
Electronic Journal of Differential Equations, Tome 2007 (2007).

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

Summary: In this note, we prove the existence of a solution to the semilinear second order ordinary differential equation $$\displaylines{ u''(x)+ r(x) u'+g(x,u)=f(x)\,,\cr x(0)=x(\pi)=0\,, }$$ using a variational method and critical point theory.
Classification : 34G20, 35A15, 34K10
Keywords: second order ODE, Dirichlet problem, variational method, critical point 
@article{EJDE_2007__2007__a168,
     author = {Tomiczek, Petr},
     title = {Remark on {Duffing} equation with {Dirichlet} boundary condition},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a168/}
}
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Tomiczek, Petr. Remark on Duffing equation with Dirichlet boundary condition. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a168/