The University of Queensland

Department of Mathematics
Analysis Seminar

**On a nonlinear Sturm-Liouville Eigenvalue Problem **

A/Prof Bevan Thompson

Department of
Mathematics

The University of Queensland

2:00 pm on Wednesday 22 September 2004

Room
641, Priestley (Mathematics) Building

### Abstract

Since the classical linear Sturm-Liouville eigenvalue problem is
self-adjoint it possesses a family of eigenfunctions which form an
orthonormal basis for the space $L_2$. It is natural 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.
This is joint work with Alex Makin from the
Moscow State Academy of Instrument-Making and Informatics
All interested are invited to attend.

Enquires to Min-Chun Hong on 3346 9036 or hong@maths.uq.edu.au