Setting the stage -- Preliminaries -- Integral equations -- Regular Sturm-Liouville problems -- Singular Sturm-Liouville problems: I -- Singular Sturm-Liouville problems: II -- Approximation of Eigenvalues and Eigenfunctions -- Concluding examples and observations.
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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.