Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators

Date

2004-06-29

Authors

Makin, Alexander
Thompson, H. Bevan

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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.

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Attribution 4.0 International

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