Alexander S. Makin, H. Bevan Thompson
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.
Submitted October 10, 2003. Published June 29, 2004.
Math Subject Classifications: 34L10, 34B15.
Key Words: Sturm-Liouville operator; basis property; eigenfunction.
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| Alexander S. Makin |
Moscow State Academy of Instrument-Making and Informatics
Stromynka 20, 107846, Moscow, Russia
| H. Bevan Thompson |
Department of Mathematics, The University of Queensland
Queensland 4072, Australia
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