Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators
Date
2004-06-29
Authors
Makin, Alexander
Thompson, H. Bevan
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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 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.
Description
Keywords
Sturm-Liouville operator, Basis property, Eigenfunction
Citation
Makin, 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.
Rights
Attribution 4.0 International