Rayleigh's principle expresses that the smallest eigenvalue of a regular Sturm-Liouville problem with regular boundary conditions is the minimum value of a certain functional, the so called Rayleigh's quotient, and that this value is attained at the corresponding eigenfunctions only. This can be proved by means of more advanced methods. However, it turns out that there is an elementary proof, which is presented in the report.
|Number of pages||5|
|Publication status||Published - 1997|