Weakly Nonlinear Boundary-Value Problems for the Fredholm Integral Equations with Degenerate Kernels in Banach Spaces

Resumo

We consider weakly nonlinear boundary-value problems for the Fredholm integral equations with degenerate kernel in Banach spaces, establish necessary and sufficient conditions for the existence of solutions of these problems, and construct convergent iterative procedures for the determination of solutions of these boundary-value problems.