A method for studying integral equations by using a covering set of the Nemytskii operator in spaces of measurable functions
The authors present some existence results for the scalar nonlinear Fredholm equation \[ f\left(t,\int_0^1 K(t,s)x(s)ds,x(t)\right)=z(t), \] and for the Volterra integral equation \[ f\left(t,\int_0^t K(t,s)x(s)ds,x(t)\right)=z(t),\] with \(t\in[0,1] \) by using the method of covering sets of Nemytskii operators.
nonlinear Fredholm and Volterra operators
scientific article; zbMATH DE number 7495303