Question

Hello, I need help to solve this ϕ(x)=λ∫2π0(cos2(x+y)+1/2)ϕ(y)dy,
The eigenvectors and eigenvalues...

Answer 1

try differentiating twice with respect to x, it seems that it will satisfy a DE of order 2.

Answer 2

That's not the method I use

Answer 3

what method are you using then?

Answer 4

See the example below
http://math.stackexchange.com/questions/404889/urgent-help-please-integral-eigenvectors-and-eigenvalues

Answer 5

\[ (\cos^2(x+y) + 1/2) = \frac 1 2 \cos 2(x+y) \]