Sturm-Liouville Theory - Partial Differential Equations | Lecture 23

Описание к видео Sturm-Liouville Theory - Partial Differential Equations | Lecture 23

In this lecture we learn about some of the most important results in partial differential equations theory. Here we present Sturm-Liouville eigenvalue problems which generalize those that we saw in the previous lecture and show that eigenvalues always exist. Moreover, Sturm-Liouville theory guarantees that each problem has infinitely-many eigenvalues, all of which are real, and the eigenfunctions generalize the well-known properties of sines and cosines from Fourier theory.

Lectures series on differential equations:    • Welcome - Ordinary Differential Equat...  

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