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## Main Question or Discussion Point

I have the following equation:

(k(x)*g(x)')'=p*g(x)

where

k(x) = k(x+T) -- k(x) is a known periodical function of period T, k(x) real, x real, T real.

p = some constant that have to be determined.

g(x) = an unknown function.

If p is always real I will try to solve the equation if p could also be complex the equation will not be of so much interest for me.

(k(x)*g(x)')'=p*g(x)

where

k(x) = k(x+T) -- k(x) is a known periodical function of period T, k(x) real, x real, T real.

p = some constant that have to be determined.

g(x) = an unknown function.

**Question:***Is there a method that can tell from the beginning that all the values of p should be real?*If p is always real I will try to solve the equation if p could also be complex the equation will not be of so much interest for me.