Geodesic
Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators
Electronic journal of differential equations, Tome 2004 (2004)
It is well known that the classical linear Sturm-Liouville eigenvalue problem is self-adjoint and possesses a family of eigenfunctions which form an orthonormal basis for the space L_2. A natural question is to ask if a similar result holds for nonlinear problems. In the present paper, we examine the basis property for eigenfunctions of nonlinear Sturm-Liouville equations subject to general linear, separated boundary conditions.
Classification : 34L10, 34B15
Keywords: Sturm-Liouville operator, basis property, eigenfunction 
@article{EJDE_2004__2004__a77,
     author = {Makin,  Alexander S. and Thompson,  H.Bevan},
     title = {Convergence of eigenfunction expansions corresponding to nonlinear {Sturm-Liouville} operators},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1078.34532},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a77/}
}
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%A Thompson,  H.Bevan
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Makin,  Alexander S.; Thompson,  H.Bevan. Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a77/