Volume no :4, Issue no: 2, November (2010)

Journal of Pure and Applied Mathematics: Advances and Applications

AN IMPROVEMENT METHOD FOR SOLVING THE INDEX PROBLEM FOR STURM-LIOUVILLE EIGENVALUES

Author's: Guixia Wang and Jiong Sun
Pages: [171] - [185]
Received Date: March 24, 2010
Submitted by:

Abstract

An improvement is given to the known solution of the index problem for Sturm-Liouville eigenvalues for coupled boundary conditions. The algorithm corresponding the solution is discussed, and numerous numerical examples illustrate the theoretical results and show that the algorithm is valid.

Keywords

self-adjoint Sturm-Liouville problems, indices of eigenvalues, coupled boundary conditions, Prüfer angle, numerical computations.