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Math Help - approximation for eigenvalues

  1. #1
    Junior Member
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    May 2008
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    approximation for eigenvalues

    I got the problem of finding an approximation for the eigenvalue of
    y'' + \lambda (1+\varepsilon x) y = 0
    when \varepsilon is small, and 0<x<\pi

    I don't know a lot when it comes to ODE, so I have no idea how to approach this. I mean, I know the basics of ODE but never got to the sturm liouville systems. (It looks like a simple problem, but I never saw anything similar so I don't know what I should do here)
    any help would be appreciated. also, if anyone know of any books\sites that have some other examples of this type, it would be great too.
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  2. #2
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    Quote Originally Posted by Prometheus View Post
    I got the problem of finding an approximation for the eigenvalue of
    y'' + \lambda (1+\varepsilon x) y = 0
    when \varepsilon is small, and 0<x<\pi

    I don't know a lot when it comes to ODE, so I have no idea how to approach this. I mean, I know the basics of ODE but never got to the sturm liouville systems. (It looks like a simple problem, but I never saw anything similar so I don't know what I should do here)
    any help would be appreciated. also, if anyone know of any books\sites that have some other examples of this type, it would be great too.
    I suggest doing a search on "perturbation theory" in google or in bing, there is much stuff out there.
    Last edited by mr fantastic; September 19th 2009 at 12:40 AM. Reason: Restored original reply
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