Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 87, pp. 1-10.

Title: Convergence of eigenfunction expansions
 corresponding to nonlinear Sturm-Liouville operators

Authors: Alexander S. Makin (Moscow State Academy of Instr., Russia)
         H. Bevan Thompson (Univ. of Queensland, Australia)
 
Abstract: 
 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.