##  [Sturm–Liouville Problem](/sturm-liouville-problem) 

  ##  [Sturm–Liouville Problem](https://natural.quantumdictionary.io/sturm-liouville-problem-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A boundary-value spectral problem for a second-order linear differential operator of the form −(p(x) y')' + q(x) y = λ w(x) y on an interval, together with specified boundary conditions, whose solutions determine spectral parameters λ and associated eigenfunctions.