ABSTRACT

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical Implementation addresses, in a unified way, the key issues that must be faced in science and engineering applications when separation of variables, variational methods, or other considerations lead to Sturm-Liouville eigenvalue problems and boundary value problems.

chapter 1|24 pages

Setting the Stage

chapter Chapter 2|51 pages

Preliminaries

chapter Chapter 3|49 pages

Integral Equations

chapter Chapter 4|78 pages

Regular Sturm-Liouville Problems

chapter 5|44 pages

Singular Sturm-Liouville Problems - I

chapter Chapter 6|50 pages

Singular Sturm-Liouville Problems - II

chapter Chapter 7|36 pages

Approximation of Eigenvalues and Eigenfunctions

chapter Chapter 8|23 pages

Concluding Examples and Observations