Chapter 18 · Partial Differential Equations
18.09
Sturm–Liouville Problems
Sturm–Liouville theory explains why sines, cosines, Bessel and Legendre functions all behave alike: real eigenvalues, orthogonal eigenfunctions, and expansions of any reasonable function.
About 16 minutes
You'll learn to
- →Write a second-order eigenvalue problem in Sturm–Liouville form
- →State the main properties of eigenvalues and eigenfunctions
- →Compute eigenfunction expansion coefficients with a weight
- →Estimate the lowest eigenvalue with the Rayleigh quotient