A method for studying integral equations by using a covering set of the Nemytskii operator in spaces of measurable functions (Q2117976): Difference between revisions

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.