Thursday, March 30, 2017
orthogonality of eigenfunctions
reality of eigenvalues
uniqueness of eigenfunctions
Derivation
Conditions guaranteeing positivity of eigenvalues
Minimization principle: statement, utility, proof
Correction: the class of functions we're minimizing over can be extended to functions that are continuous on [a,b], have a piecewise continuous derivative on (a,b), and satisfy the BCs.
Next: Examples and proof of minimization principle