Bifurcation of the Solutions of Boundary-Value Problems for Integrodifferential Equations with Degenerate Kernel in Banach Spaces

We consider weakly perturbed boundary-value problems for integrodifferential equations with degenerate kernel in Banach spaces. We obtain bifurcation conditions from the point ε = 0 for the solutions of weakly perturbed boundary-value problems for integrodifferential equations in Banach spaces. We propose a convergent iterative procedure for the determination of at least one solution in the form of a power series in ε .