Register to reply 
Determining Weight Functions 
Share this thread: 
#1
Jul1111, 11:20 PM

P: 68

I've read a few books on solving differential equations and they all talk about inner products with respect to weight functions. The examples always read something like that "Using the weight function w(x) = blah blah show that the solutions of the differential equations are orthogonal"
We're always given the weight function. I was wondering if there was a general method to finding the weight function? 


#2
Jul1311, 06:54 PM

P: 6

Yes, there are ways to determine weight. For example, Vilenkin does that a couple of times in his Special functions and the theory of group representations.



#3
Jul1411, 11:38 AM

HW Helper
Thanks
PF Gold
P: 7,632

http://en.wikipedia.org/wiki/Sturm%E...ouville_theory 


Register to reply 
Related Discussions  
Determining Functions from relations  General Math  2  
Equation for determining weight difference given distances to center?  General Math  2  
Determining the weight of an object, given force to move it  Introductory Physics Homework  3  
Help coming up with a formula for determining weight lost in cold.  Biology  4  
Determining All Continuous Functions s.t. ...  General Math  9 