CONVERGENCE OF EIGENFUNCTION EXPANSIONS CORRESPONDING TO NONLINEAR STURM-LIOUVILLE OPERATORS

@inproceedings{Makin2004CONVERGENCEOE,
  title={CONVERGENCE OF EIGENFUNCTION EXPANSIONS CORRESPONDING TO NONLINEAR STURM-LIOUVILLE OPERATORS},
  author={Alexander S. Makin and H. Bevan Thompson},
  year={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 L2. 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. 

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