This preview shows page 1. Sign up to view the full content.
Unformatted text preview: tion of a vibrating string) ( T ( x ) y ( x )) + ( x ) y ( x ) = 0 , x [0 ,L ] , where T ( x ) , ( x ) > with boundary conditions y (0) = 0 , my ( L ) + k y ( L ) = 0 (the endpoint x = 0 is kept xed, and the other end, x = L is accelerated up and down with no transversal force). Reformulate this problem using a selfadjoint dierential operator on an appropriate Hilbert space: give the operator, its domain, and show that it is selfadjoint. Is this operator positive denite? Without explicitly solving the problems, what can you say about the eigenvalues and eigenfunctions of this problem? 1...
View Full
Document
 Spring '12
 COSTIN
 Inequalities

Click to edit the document details