# Definition of a Differential Eigenvalue Problem?

## Homework Statement

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

## 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.

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Dick
Homework Helper
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.

Thanks a lot :).

tiny-tim