Makin, AlexanderThompson, H. Bevan2021-04-262021-04-262004-06-29Makin, A. S., & Thompson, H. B. (2004). Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators. <i>Electronic Journal of Differential Equations, 2004</i>(87), pp. 1-10.1072-6691https://hdl.handle.net/10877/13441It 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalSturm-Liouville operatorBasis propertyEigenfunctionArticle