Integrable solutions of a generalized mixed-type functional integral equation

In this work, we prove the existence of integrable solutions for the following generalized mixed-type nonlinear functional integral equation x(t)=g(t,(Tx)(t))+f(t,∫0tk(t,s)u(t,s,(Qx)(s))ds),t∈[0,∞).Our result is established by means of a Krasnosel'skii type fixed point theorem proved by Taoudi (2009). In the last section we give an example to illustrate our result.