Hammerstein integral equation with inverse of the solution - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T04:57:21Z http://mathoverflow.net/feeds/question/101382 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/101382/hammerstein-integral-equation-with-inverse-of-the-solution Hammerstein integral equation with inverse of the solution Riccardo.Alestra 2012-07-05T08:47:22Z 2012-07-05T08:47:22Z <p>In signal processing theory I found this integral equation that I recognized to be of Hammerstein type: $$u(t)-\int_{0}^{1}d\phi cos(\omega t+\phi)\frac{1}{u(\phi)}=0$$ Unfortunately the solution function $u(t)$ appears in the denominator, so I am unable to solve it. Can someone help me? Thanks.</p>