Chapter 1 Introduction
1.1 Physical background
1.2 Related results of ordinary differential operators
1.3 Structure of the book
Chapter 2 Approximations of eigenvalues and eigenfunctions
2.1 Notation and theoretic results
2.2 Main ideas of the algorithms
2.3 General methods for constructing examples
2.4 Examples with λ-independent BCs
2.5 Examples with λ-dependent BCs
2.6 Oscillations of eigenfunctions for discontinuous Sturm-Liouville problems
Chapter 3 Computing the indices of eigenvalues
3.1 Notation and theoretic results
3.2 Algorithm and implementation
3.3 Examples with a positive f
3.4 Examples with an indefinite f
3.5 Examples about β*(a) and β(a)
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