turkmath.org

The definition of the ordinary derivative of a function of a single variable is fairly far from the definition of the Frechet derivative of a “function” when the “input” is considered to be a member of a normed space. In this talk, I will share some ordinary and Frechet derivatives of the eigenvalues and eigenfunctions of some symmetric boundary-value problems with respect to some elements of the data. Moreover, I will compare the old way with the recent way of finding Frechet derivatives of eigenvalues and eigenfunctions.