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Definition of a Differential Eigenvalue Problem?

  • Thread starter dev00790
  • Start date
  • #1
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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. :smile:
 

Answers and Replies

  • #2
Dick
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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.
 
  • #3
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Thanks a lot :).
 
  • #4
tiny-tim
Science Advisor
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But why "differential"? :redface:
 

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