Definition of a Differential Eigenvalue Problem?

[dev00790]

Homework Statement

I would like to know what the definition of a Differential Eigenvalue Problem is please?
I am a maths undergraduate.

Homework Equations

\lambda y = L y, where \lambda is eigenvalue, L is a linear operator.

The Attempt at a Solution

I have searched via google, encylopedia britanica, wikipedia but only have a vague understanding. If someone could help me define it that would be great.

Thank you.

 

[Dick]

You just defined it. If an operator acts on a function and returns a constant multiple of that function then the function is an 'eigenfunction' and the value of the multiple is 'eigenvalue'. That's really all there is to it.

 

[dev00790]

Thanks a lot :).

 

[tiny-tim]

But why "differential"?