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Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators
oleh: Alexander S. Makin, H. Bevan Thompson
| Format: | Article |
|---|---|
| Diterbitkan: | Texas State University 2004-06-01 |
Deskripsi
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.