A note on integrable solutions of Hammerstein integral equations
The authors consider the equation \[ x(t) = g \bigl( t,x(t) \bigr) + \int^1_0 k(t,s) f \biggl( t,x \bigl( \sigma (s) \bigr) \biggr )ds \quad 0 \leq t \leq 1, \] and state an existence result. [Whether anything, except for the existence of the trivial solution \(x = 0\), is actually proved remains unclear to the reviewer].
scientific article; zbMATH DE number 813851