Geodesic
Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators
Electronic Journal of Differential Equations, Tome 2004 (2004).

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

Summary: 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 
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     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},
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     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a177/}
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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__a177/