Register to reply 
Legendre equation , the Bessel equation and Sturm Liouville equation 
Share this thread: 
#1
Dec2812, 08:35 AM

P: 3

Show that the Legendre equation as well as the Bessel equation for n=integer are Sturm Liouville equations and thus their solutions are orthogonal. How I can proove that ..? :( 


#2
Dec2812, 11:28 AM

P: 1,072

Can you put it in sturmliouville form?



#3
Dec2812, 12:41 PM

P: 3

Yes ...
see . this is the form of Sturm Liouville and this table help me i found the mathematical explain for bessel . but i don't know how i can prove thier solutions are orthogonal ..! can you help me 


#4
Dec2812, 03:14 PM

P: 1,072

Legendre equation , the Bessel equation and Sturm Liouville equation
Did you post the problem exactly? If so, as I interpret it, you do not need to prove that yourself. It is well known that the solutions to sturmliouville problems are orthogonal and the proof can be found in any mathematical methods book.



#5
Dec2812, 03:27 PM

P: 3

yea
i understand that hour before .. i wasn't have enough information about sturmliouville or maybe my brain stopped thanks :) 


Register to reply 
Related Discussions  
Orthogonality and Weighting Function of SturmLiouville Equation  Calculus & Beyond Homework  7  
Desperate trying to solve a simple SturmLiouville equation  Differential Equations  1  
Simple SturmLiouville system resembling AssociatedLegendre equation?  Differential Equations  5  
SturmLiouville Like Equation with Boundary Conditions on Second Derivative  Differential Equations  3  
LorentzEinstein equation and Sturm Liouville Theory  Quantum Physics  2 