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Math Help - theoretical question on cyclic function

  1. #1
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    theoretical question on cyclic function

    a(x) is continues on R with cycle T ,a(x+T)=a(x)
    u(x) is non trivial soluion of y'=a(x)y
    \lambda=\int_{0}^{T}a(x)dx

    which of the following claims is correct:

    A. if \lambda>0 then  \lim_{x\rightarrow\infty}u(x)=\infty
    B. if \lambda=0 then u(x) is a cyclic function

    i dont have the theorectical basis to solve it
    Last edited by transgalactic; October 22nd 2010 at 01:18 AM.
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