%0 Journal Article
%T Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators
%A Alexander S. Makin
%A H. Bevan Thompson
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X 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.
%K Sturm-Liouville operator
%K basis property
%K eigenfunction.
%U http://ejde.math.txstate.edu/Volumes/2004/87/abstr.html